Finding the Third Proportional to 413,729,158.50 and 617,005,964.25

Step by Step Solution

1. Step 1: Write the proportion equation
   413,729,158.50 : 617,005,964.25 = 617,005,964.25 : x
2. Step 2: Convert to fraction form
   413,729,158.50/617,005,964.25 = 617,005,964.25/x
3. Step 3: Cross multiply
   413,729,158.50x = 617,005,964.25 × 617,005,964.25
4. Step 4: Simplify right side
   413,729,158.50x = 380,696,359,920,072,256
5. Step 5: Solve for x
   x = 380,696,359,920,072,256/413,729,158.50
6. Step 6: Final answer
   x = 920,158,398.55