Finding the Third Proportional to 339,007.78 and 460,414.13

Step by Step Solution

1. Step 1: Write the proportion equation
   339,007.78 : 460,414.13 = 460,414.13 : x
2. Step 2: Convert to fraction form
   339,007.78/460,414.13 = 460,414.13/x
3. Step 3: Cross multiply
   339,007.78x = 460,414.13 × 460,414.13
4. Step 4: Simplify right side
   339,007.78x = 211,981,166,499.52
5. Step 5: Solve for x
   x = 211,981,166,499.52/339,007.78
6. Step 6: Final answer
   x = 625,298.82