Finding the Third Proportional to 827,288,388 and 1,772,600,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   827,288,388 : 1,772,600,152.50 = 1,772,600,152.50 : x
2. Step 2: Convert to fraction form
   827,288,388/1,772,600,152.50 = 1,772,600,152.50/x
3. Step 3: Cross multiply
   827,288,388x = 1,772,600,152.50 × 1,772,600,152.50
4. Step 4: Simplify right side
   827,288,388x = 3,142,111,300,643,023,360
5. Step 5: Solve for x
   x = 3,142,111,300,643,023,360/827,288,388
6. Step 6: Final answer
   x = 3,798,084,617.43