Finding the Third Proportional to 100,893.50 and 141,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,893.50 : 141,399.50 = 141,399.50 : x
2. Step 2: Convert to fraction form
   100,893.50/141,399.50 = 141,399.50/x
3. Step 3: Cross multiply
   100,893.50x = 141,399.50 × 141,399.50
4. Step 4: Simplify right side
   100,893.50x = 19,993,818,600.25
5. Step 5: Solve for x
   x = 19,993,818,600.25/100,893.50
6. Step 6: Final answer
   x = 198,167.56