Finding the Third Proportional to 59,456 and 86,511

Step by Step Solution

1. Step 1: Write the proportion equation
   59,456 : 86,511 = 86,511 : x
2. Step 2: Convert to fraction form
   59,456/86,511 = 86,511/x
3. Step 3: Cross multiply
   59,456x = 86,511 × 86,511
4. Step 4: Simplify right side
   59,456x = 7,484,153,121
5. Step 5: Solve for x
   x = 7,484,153,121/59,456
6. Step 6: Final answer
   x = 125,877.17