Finding the Third Proportional to 365,092 and 784,156

Step by Step Solution

1. Step 1: Write the proportion equation
   365,092 : 784,156 = 784,156 : x
2. Step 2: Convert to fraction form
   365,092/784,156 = 784,156/x
3. Step 3: Cross multiply
   365,092x = 784,156 × 784,156
4. Step 4: Simplify right side
   365,092x = 614,900,632,336
5. Step 5: Solve for x
   x = 614,900,632,336/365,092
6. Step 6: Final answer
   x = 1,684,234.75