Finding the Third Proportional to 86,406 and 123,561

Step by Step Solution

1. Step 1: Write the proportion equation
   86,406 : 123,561 = 123,561 : x
2. Step 2: Convert to fraction form
   86,406/123,561 = 123,561/x
3. Step 3: Cross multiply
   86,406x = 123,561 × 123,561
4. Step 4: Simplify right side
   86,406x = 15,267,320,721
5. Step 5: Solve for x
   x = 15,267,320,721/86,406
6. Step 6: Final answer
   x = 176,692.83