Finding the Third Proportional to 123,470.10 and 269,374.04

Step by Step Solution

1. Step 1: Write the proportion equation
   123,470.10 : 269,374.04 = 269,374.04 : x
2. Step 2: Convert to fraction form
   123,470.10/269,374.04 = 269,374.04/x
3. Step 3: Cross multiply
   123,470.10x = 269,374.04 × 269,374.04
4. Step 4: Simplify right side
   123,470.10x = 72,562,375,025.33
5. Step 5: Solve for x
   x = 72,562,375,025.33/123,470.10
6. Step 6: Final answer
   x = 587,691.86