Finding the Third Proportional to 89,526 and 125,499

Step by Step Solution

1. Step 1: Write the proportion equation
   89,526 : 125,499 = 125,499 : x
2. Step 2: Convert to fraction form
   89,526/125,499 = 125,499/x
3. Step 3: Cross multiply
   89,526x = 125,499 × 125,499
4. Step 4: Simplify right side
   89,526x = 15,749,999,001
5. Step 5: Solve for x
   x = 15,749,999,001/89,526
6. Step 6: Final answer
   x = 175,926.54