Finding the Third Proportional to 89,646 and 131,877

Step by Step Solution

1. Step 1: Write the proportion equation
   89,646 : 131,877 = 131,877 : x
2. Step 2: Convert to fraction form
   89,646/131,877 = 131,877/x
3. Step 3: Cross multiply
   89,646x = 131,877 × 131,877
4. Step 4: Simplify right side
   89,646x = 17,391,543,129
5. Step 5: Solve for x
   x = 17,391,543,129/89,646
6. Step 6: Final answer
   x = 194,002.44