Finding the Third Proportional to 123,541.50 and 269,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,541.50 : 269,738.25 = 269,738.25 : x
2. Step 2: Convert to fraction form
   123,541.50/269,738.25 = 269,738.25/x
3. Step 3: Cross multiply
   123,541.50x = 269,738.25 × 269,738.25
4. Step 4: Simplify right side
   123,541.50x = 72,758,723,513.06
5. Step 5: Solve for x
   x = 72,758,723,513.06/123,541.50
6. Step 6: Final answer
   x = 588,941.56