Finding the Third Proportional to 42,151 and 90,315

Step by Step Solution

1. Step 1: Write the proportion equation
   42,151 : 90,315 = 90,315 : x
2. Step 2: Convert to fraction form
   42,151/90,315 = 90,315/x
3. Step 3: Cross multiply
   42,151x = 90,315 × 90,315
4. Step 4: Simplify right side
   42,151x = 8,156,799,225
5. Step 5: Solve for x
   x = 8,156,799,225/42,151
6. Step 6: Final answer
   x = 193,513.78