Finding the Third Proportional to 90,085 and 141,314

Step by Step Solution

1. Step 1: Write the proportion equation
   90,085 : 141,314 = 141,314 : x
2. Step 2: Convert to fraction form
   90,085/141,314 = 141,314/x
3. Step 3: Cross multiply
   90,085x = 141,314 × 141,314
4. Step 4: Simplify right side
   90,085x = 19,969,646,596
5. Step 5: Solve for x
   x = 19,969,646,596/90,085
6. Step 6: Final answer
   x = 221,675.60