Finding the Third Proportional to 123,057.50 and 189,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,057.50 : 189,836.50 = 189,836.50 : x
2. Step 2: Convert to fraction form
   123,057.50/189,836.50 = 189,836.50/x
3. Step 3: Cross multiply
   123,057.50x = 189,836.50 × 189,836.50
4. Step 4: Simplify right side
   123,057.50x = 36,037,896,732.25
5. Step 5: Solve for x
   x = 36,037,896,732.25/123,057.50
6. Step 6: Final answer
   x = 292,854.13