Finding the Third Proportional to 90,499.50 and 199,867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,499.50 : 199,867.50 = 199,867.50 : x
2. Step 2: Convert to fraction form
   90,499.50/199,867.50 = 199,867.50/x
3. Step 3: Cross multiply
   90,499.50x = 199,867.50 × 199,867.50
4. Step 4: Simplify right side
   90,499.50x = 39,947,017,556.25
5. Step 5: Solve for x
   x = 39,947,017,556.25/90,499.50
6. Step 6: Final answer
   x = 441,405.95