Finding the Third Proportional to 90,209.25 and 194,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,209.25 : 194,854.50 = 194,854.50 : x
2. Step 2: Convert to fraction form
   90,209.25/194,854.50 = 194,854.50/x
3. Step 3: Cross multiply
   90,209.25x = 194,854.50 × 194,854.50
4. Step 4: Simplify right side
   90,209.25x = 37,968,276,170.25
5. Step 5: Solve for x
   x = 37,968,276,170.25/90,209.25
6. Step 6: Final answer
   x = 420,891.16