Finding the Third Proportional to 59,493 and 85,509

Step by Step Solution

1. Step 1: Write the proportion equation
   59,493 : 85,509 = 85,509 : x
2. Step 2: Convert to fraction form
   59,493/85,509 = 85,509/x
3. Step 3: Cross multiply
   59,493x = 85,509 × 85,509
4. Step 4: Simplify right side
   59,493x = 7,311,789,081
5. Step 5: Solve for x
   x = 7,311,789,081/59,493
6. Step 6: Final answer
   x = 122,901.67