Finding the Third Proportional to 57,359 and 123,507

Step by Step Solution

1. Step 1: Write the proportion equation
   57,359 : 123,507 = 123,507 : x
2. Step 2: Convert to fraction form
   57,359/123,507 = 123,507/x
3. Step 3: Cross multiply
   57,359x = 123,507 × 123,507
4. Step 4: Simplify right side
   57,359x = 15,253,979,049
5. Step 5: Solve for x
   x = 15,253,979,049/57,359
6. Step 6: Final answer
   x = 265,938.72