Finding the Third Proportional to 89,396 and 131,625

Step by Step Solution

1. Step 1: Write the proportion equation
   89,396 : 131,625 = 131,625 : x
2. Step 2: Convert to fraction form
   89,396/131,625 = 131,625/x
3. Step 3: Cross multiply
   89,396x = 131,625 × 131,625
4. Step 4: Simplify right side
   89,396x = 17,325,140,625
5. Step 5: Solve for x
   x = 17,325,140,625/89,396
6. Step 6: Final answer
   x = 193,802.19