Finding the Third Proportional to 57,542 and 123,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,542 : 123,078.50 = 123,078.50 : x
2. Step 2: Convert to fraction form
   57,542/123,078.50 = 123,078.50/x
3. Step 3: Cross multiply
   57,542x = 123,078.50 × 123,078.50
4. Step 4: Simplify right side
   57,542x = 15,148,317,162.25
5. Step 5: Solve for x
   x = 15,148,317,162.25/57,542
6. Step 6: Final answer
   x = 263,256.70