Finding the Third Proportional to 59,133 and 86,498

Step by Step Solution

1. Step 1: Write the proportion equation
   59,133 : 86,498 = 86,498 : x
2. Step 2: Convert to fraction form
   59,133/86,498 = 86,498/x
3. Step 3: Cross multiply
   59,133x = 86,498 × 86,498
4. Step 4: Simplify right side
   59,133x = 7,481,904,004
5. Step 5: Solve for x
   x = 7,481,904,004/59,133
6. Step 6: Final answer
   x = 126,526.71