Finding the Third Proportional to 59,511 and 123,396

Step by Step Solution

1. Step 1: Write the proportion equation
   59,511 : 123,396 = 123,396 : x
2. Step 2: Convert to fraction form
   59,511/123,396 = 123,396/x
3. Step 3: Cross multiply
   59,511x = 123,396 × 123,396
4. Step 4: Simplify right side
   59,511x = 15,226,572,816
5. Step 5: Solve for x
   x = 15,226,572,816/59,511
6. Step 6: Final answer
   x = 255,861.48