Finding the Third Proportional to 92,118.75 and 199,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,118.75 : 199,789.50 = 199,789.50 : x
2. Step 2: Convert to fraction form
   92,118.75/199,789.50 = 199,789.50/x
3. Step 3: Cross multiply
   92,118.75x = 199,789.50 × 199,789.50
4. Step 4: Simplify right side
   92,118.75x = 39,915,844,310.25
5. Step 5: Solve for x
   x = 39,915,844,310.25/92,118.75
6. Step 6: Final answer
   x = 433,308.58