Finding the Third Proportional to 314,545,092 and 684,314,034

Step by Step Solution

1. Step 1: Write the proportion equation
   314,545,092 : 684,314,034 = 684,314,034 : x
2. Step 2: Convert to fraction form
   314,545,092/684,314,034 = 684,314,034/x
3. Step 3: Cross multiply
   314,545,092x = 684,314,034 × 684,314,034
4. Step 4: Simplify right side
   314,545,092x = 468,285,697,129,353,152
5. Step 5: Solve for x
   x = 468,285,697,129,353,152/314,545,092
6. Step 6: Final answer
   x = 1,488,771,273.31