Finding the Third Proportional to 90,536 and 132,564

Step by Step Solution

1. Step 1: Write the proportion equation
   90,536 : 132,564 = 132,564 : x
2. Step 2: Convert to fraction form
   90,536/132,564 = 132,564/x
3. Step 3: Cross multiply
   90,536x = 132,564 × 132,564
4. Step 4: Simplify right side
   90,536x = 17,573,214,096
5. Step 5: Solve for x
   x = 17,573,214,096/90,536
6. Step 6: Final answer
   x = 194,101.95