Finding the Third Proportional to 89,658 and 131,891

Step by Step Solution

1. Step 1: Write the proportion equation
   89,658 : 131,891 = 131,891 : x
2. Step 2: Convert to fraction form
   89,658/131,891 = 131,891/x
3. Step 3: Cross multiply
   89,658x = 131,891 × 131,891
4. Step 4: Simplify right side
   89,658x = 17,395,235,881
5. Step 5: Solve for x
   x = 17,395,235,881/89,658
6. Step 6: Final answer
   x = 194,017.67