Finding the Third Proportional to 57,496.50 and 123,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,496.50 : 123,736.50 = 123,736.50 : x
2. Step 2: Convert to fraction form
   57,496.50/123,736.50 = 123,736.50/x
3. Step 3: Cross multiply
   57,496.50x = 123,736.50 × 123,736.50
4. Step 4: Simplify right side
   57,496.50x = 15,310,721,432.25
5. Step 5: Solve for x
   x = 15,310,721,432.25/57,496.50
6. Step 6: Final answer
   x = 266,289.63