Finding the Third Proportional to 90,085 and 132,415

Step by Step Solution

1. Step 1: Write the proportion equation
   90,085 : 132,415 = 132,415 : x
2. Step 2: Convert to fraction form
   90,085/132,415 = 132,415/x
3. Step 3: Cross multiply
   90,085x = 132,415 × 132,415
4. Step 4: Simplify right side
   90,085x = 17,533,732,225
5. Step 5: Solve for x
   x = 17,533,732,225/90,085
6. Step 6: Final answer
   x = 194,635.42