Finding the Third Proportional to 123,592.50 and 187,758

Step by Step Solution

1. Step 1: Write the proportion equation
   123,592.50 : 187,758 = 187,758 : x
2. Step 2: Convert to fraction form
   123,592.50/187,758 = 187,758/x
3. Step 3: Cross multiply
   123,592.50x = 187,758 × 187,758
4. Step 4: Simplify right side
   123,592.50x = 35,253,066,564
5. Step 5: Solve for x
   x = 35,253,066,564/123,592.50
6. Step 6: Final answer
   x = 285,236.29