Finding the Third Proportional to 123,585 and 187,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,585 : 187,747.50 = 187,747.50 : x
2. Step 2: Convert to fraction form
   123,585/187,747.50 = 187,747.50/x
3. Step 3: Cross multiply
   123,585x = 187,747.50 × 187,747.50
4. Step 4: Simplify right side
   123,585x = 35,249,123,756.25
5. Step 5: Solve for x
   x = 35,249,123,756.25/123,585
6. Step 6: Final answer
   x = 285,221.70