Finding the Third Proportional to 81,209.25 and 110,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,209.25 : 110,632.50 = 110,632.50 : x
2. Step 2: Convert to fraction form
   81,209.25/110,632.50 = 110,632.50/x
3. Step 3: Cross multiply
   81,209.25x = 110,632.50 × 110,632.50
4. Step 4: Simplify right side
   81,209.25x = 12,239,550,056.25
5. Step 5: Solve for x
   x = 12,239,550,056.25/81,209.25
6. Step 6: Final answer
   x = 150,716.21