Finding the Third Proportional to 89,601 and 129,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,601 : 129,523.50 = 129,523.50 : x
2. Step 2: Convert to fraction form
   89,601/129,523.50 = 129,523.50/x
3. Step 3: Cross multiply
   89,601x = 129,523.50 × 129,523.50
4. Step 4: Simplify right side
   89,601x = 16,776,337,052.25
5. Step 5: Solve for x
   x = 16,776,337,052.25/89,601
6. Step 6: Final answer
   x = 187,233.81