Finding the Third Proportional to 124,902 and 269,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,902 : 269,743.50 = 269,743.50 : x
2. Step 2: Convert to fraction form
   124,902/269,743.50 = 269,743.50/x
3. Step 3: Cross multiply
   124,902x = 269,743.50 × 269,743.50
4. Step 4: Simplify right side
   124,902x = 72,761,555,792.25
5. Step 5: Solve for x
   x = 72,761,555,792.25/124,902
6. Step 6: Final answer
   x = 582,549.16