Finding the Third Proportional to 89,890.50 and 199,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,890.50 : 199,733.50 = 199,733.50 : x
2. Step 2: Convert to fraction form
   89,890.50/199,733.50 = 199,733.50/x
3. Step 3: Cross multiply
   89,890.50x = 199,733.50 × 199,733.50
4. Step 4: Simplify right side
   89,890.50x = 39,893,471,022.25
5. Step 5: Solve for x
   x = 39,893,471,022.25/89,890.50
6. Step 6: Final answer
   x = 443,800.75