Finding the Third Proportional to 31,314,396,962,592 and 63,521,685,154,688

Step by Step Solution

1. Step 1: Write the proportion equation
   31,314,396,962,592 : 63,521,685,154,688 = 63,521,685,154,688 : x
2. Step 2: Convert to fraction form
   31,314,396,962,592/63,521,685,154,688 = 63,521,685,154,688/x
3. Step 3: Cross multiply
   31,314,396,962,592x = 63,521,685,154,688 × 63,521,685,154,688
4. Step 4: Simplify right side
   31,314,396,962,592x = 4,035,004,484,891,310,096,279,142,400
5. Step 5: Solve for x
   x = 4,035,004,484,891,310,096,279,142,400/31,314,396,962,592
6. Step 6: Final answer
   x = 128,854,612,455,462.69