Finding the Third Proportional to 57,386 and 123,560

Step by Step Solution

1. Step 1: Write the proportion equation
   57,386 : 123,560 = 123,560 : x
2. Step 2: Convert to fraction form
   57,386/123,560 = 123,560/x
3. Step 3: Cross multiply
   57,386x = 123,560 × 123,560
4. Step 4: Simplify right side
   57,386x = 15,267,073,600
5. Step 5: Solve for x
   x = 15,267,073,600/57,386
6. Step 6: Final answer
   x = 266,041.78