Finding the Third Proportional to 59,496 and 85,776

Step by Step Solution

1. Step 1: Write the proportion equation
   59,496 : 85,776 = 85,776 : x
2. Step 2: Convert to fraction form
   59,496/85,776 = 85,776/x
3. Step 3: Cross multiply
   59,496x = 85,776 × 85,776
4. Step 4: Simplify right side
   59,496x = 7,357,522,176
5. Step 5: Solve for x
   x = 7,357,522,176/59,496
6. Step 6: Final answer
   x = 123,664.15