Finding the Third Proportional to 57,214 and 123,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,214 : 123,864.50 = 123,864.50 : x
2. Step 2: Convert to fraction form
   57,214/123,864.50 = 123,864.50/x
3. Step 3: Cross multiply
   57,214x = 123,864.50 × 123,864.50
4. Step 4: Simplify right side
   57,214x = 15,342,414,360.25
5. Step 5: Solve for x
   x = 15,342,414,360.25/57,214
6. Step 6: Final answer
   x = 268,158.39