Finding the Third Proportional to 89,887.50 and 199,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,887.50 : 199,727.25 = 199,727.25 : x
2. Step 2: Convert to fraction form
   89,887.50/199,727.25 = 199,727.25/x
3. Step 3: Cross multiply
   89,887.50x = 199,727.25 × 199,727.25
4. Step 4: Simplify right side
   89,887.50x = 39,890,974,392.56
5. Step 5: Solve for x
   x = 39,890,974,392.56/89,887.50
6. Step 6: Final answer
   x = 443,787.78