Finding the Third Proportional to 81,225 and 188,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,225 : 188,023.50 = 188,023.50 : x
2. Step 2: Convert to fraction form
   81,225/188,023.50 = 188,023.50/x
3. Step 3: Cross multiply
   81,225x = 188,023.50 × 188,023.50
4. Step 4: Simplify right side
   81,225x = 35,352,836,552.25
5. Step 5: Solve for x
   x = 35,352,836,552.25/81,225
6. Step 6: Final answer
   x = 435,245.76