Finding the Third Proportional to 538,389,771 and 1,168,665,321

Step by Step Solution

1. Step 1: Write the proportion equation
   538,389,771 : 1,168,665,321 = 1,168,665,321 : x
2. Step 2: Convert to fraction form
   538,389,771/1,168,665,321 = 1,168,665,321/x
3. Step 3: Cross multiply
   538,389,771x = 1,168,665,321 × 1,168,665,321
4. Step 4: Simplify right side
   538,389,771x = 1,365,778,632,508,033,024
5. Step 5: Solve for x
   x = 1,365,778,632,508,033,024/538,389,771
6. Step 6: Final answer
   x = 2,536,784,140.55