Finding the Third Proportional to 123,571.13 and 269,695.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123,571.13 : 269,695.69 = 269,695.69 : x
2. Step 2: Convert to fraction form
   123,571.13/269,695.69 = 269,695.69/x
3. Step 3: Cross multiply
   123,571.13x = 269,695.69 × 269,695.69
4. Step 4: Simplify right side
   123,571.13x = 72,735,763,856.10
5. Step 5: Solve for x
   x = 72,735,763,856.10/123,571.13
6. Step 6: Final answer
   x = 588,614.56