Finding the Third Proportional to 89,662 and 131,897

Step by Step Solution

1. Step 1: Write the proportion equation
   89,662 : 131,897 = 131,897 : x
2. Step 2: Convert to fraction form
   89,662/131,897 = 131,897/x
3. Step 3: Cross multiply
   89,662x = 131,897 × 131,897
4. Step 4: Simplify right side
   89,662x = 17,396,818,609
5. Step 5: Solve for x
   x = 17,396,818,609/89,662
6. Step 6: Final answer
   x = 194,026.66