Finding the Third Proportional to 57,352 and 123,776

Step by Step Solution

1. Step 1: Write the proportion equation
   57,352 : 123,776 = 123,776 : x
2. Step 2: Convert to fraction form
   57,352/123,776 = 123,776/x
3. Step 3: Cross multiply
   57,352x = 123,776 × 123,776
4. Step 4: Simplify right side
   57,352x = 15,320,498,176
5. Step 5: Solve for x
   x = 15,320,498,176/57,352
6. Step 6: Final answer
   x = 267,131.02