Finding the Third Proportional to 90,013.50 and 101,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,013.50 : 101,191.50 = 101,191.50 : x
2. Step 2: Convert to fraction form
   90,013.50/101,191.50 = 101,191.50/x
3. Step 3: Cross multiply
   90,013.50x = 101,191.50 × 101,191.50
4. Step 4: Simplify right side
   90,013.50x = 10,239,719,672.25
5. Step 5: Solve for x
   x = 10,239,719,672.25/90,013.50
6. Step 6: Final answer
   x = 113,757.60