Finding the Third Proportional to 86,563 and 129,499

Step by Step Solution

1. Step 1: Write the proportion equation
   86,563 : 129,499 = 129,499 : x
2. Step 2: Convert to fraction form
   86,563/129,499 = 129,499/x
3. Step 3: Cross multiply
   86,563x = 129,499 × 129,499
4. Step 4: Simplify right side
   86,563x = 16,769,991,001
5. Step 5: Solve for x
   x = 16,769,991,001/86,563
6. Step 6: Final answer
   x = 193,731.63