Finding the Third Proportional to 89,374 and 132,846

Step by Step Solution

1. Step 1: Write the proportion equation
   89,374 : 132,846 = 132,846 : x
2. Step 2: Convert to fraction form
   89,374/132,846 = 132,846/x
3. Step 3: Cross multiply
   89,374x = 132,846 × 132,846
4. Step 4: Simplify right side
   89,374x = 17,648,059,716
5. Step 5: Solve for x
   x = 17,648,059,716/89,374
6. Step 6: Final answer
   x = 197,463.02