Finding the Third Proportional to 90,772 and 141,857

Step by Step Solution

1. Step 1: Write the proportion equation
   90,772 : 141,857 = 141,857 : x
2. Step 2: Convert to fraction form
   90,772/141,857 = 141,857/x
3. Step 3: Cross multiply
   90,772x = 141,857 × 141,857
4. Step 4: Simplify right side
   90,772x = 20,123,408,449
5. Step 5: Solve for x
   x = 20,123,408,449/90,772
6. Step 6: Final answer
   x = 221,691.80