Finding the Third Proportional to 413,729,181 and 617,005,998

Step by Step Solution

1. Step 1: Write the proportion equation
   413,729,181 : 617,005,998 = 617,005,998 : x
2. Step 2: Convert to fraction form
   413,729,181/617,005,998 = 617,005,998/x
3. Step 3: Cross multiply
   413,729,181x = 617,005,998 × 617,005,998
4. Step 4: Simplify right side
   413,729,181x = 380,696,401,567,976,000
5. Step 5: Solve for x
   x = 380,696,401,567,976,000/413,729,181
6. Step 6: Final answer
   x = 920,158,449.18