Finding the Third Proportional to 99,724.50 and 140,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,724.50 : 140,989.50 = 140,989.50 : x
2. Step 2: Convert to fraction form
   99,724.50/140,989.50 = 140,989.50/x
3. Step 3: Cross multiply
   99,724.50x = 140,989.50 × 140,989.50
4. Step 4: Simplify right side
   99,724.50x = 19,878,039,110.25
5. Step 5: Solve for x
   x = 19,878,039,110.25/99,724.50
6. Step 6: Final answer
   x = 199,329.54