Finding the Third Proportional to 57,357 and 123,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,357 : 123,502.50 = 123,502.50 : x
2. Step 2: Convert to fraction form
   57,357/123,502.50 = 123,502.50/x
3. Step 3: Cross multiply
   57,357x = 123,502.50 × 123,502.50
4. Step 4: Simplify right side
   57,357x = 15,252,867,506.25
5. Step 5: Solve for x
   x = 15,252,867,506.25/57,357
6. Step 6: Final answer
   x = 265,928.61