Finding the Third Proportional to 31,314,396,961,468 and 63,521,685,152,648

Step by Step Solution

1. Step 1: Write the proportion equation
   31,314,396,961,468 : 63,521,685,152,648 = 63,521,685,152,648 : x
2. Step 2: Convert to fraction form
   31,314,396,961,468/63,521,685,152,648 = 63,521,685,152,648/x
3. Step 3: Cross multiply
   31,314,396,961,468x = 63,521,685,152,648 × 63,521,685,152,648
4. Step 4: Simplify right side
   31,314,396,961,468x = 4,035,004,484,632,141,461,716,992,000
5. Step 5: Solve for x
   x = 4,035,004,484,632,141,461,716,992,000/31,314,396,961,468
6. Step 6: Final answer
   x = 128,854,612,451,811.45