Finding the Third Proportional to 123,565.50 and 187,717.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,565.50 : 187,717.50 = 187,717.50 : x
2. Step 2: Convert to fraction form
   123,565.50/187,717.50 = 187,717.50/x
3. Step 3: Cross multiply
   123,565.50x = 187,717.50 × 187,717.50
4. Step 4: Simplify right side
   123,565.50x = 35,237,859,806.25
5. Step 5: Solve for x
   x = 35,237,859,806.25/123,565.50
6. Step 6: Final answer
   x = 285,175.55