Finding the Third Proportional to 82,198.50 and 111,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,198.50 : 111,388.50 = 111,388.50 : x
2. Step 2: Convert to fraction form
   82,198.50/111,388.50 = 111,388.50/x
3. Step 3: Cross multiply
   82,198.50x = 111,388.50 × 111,388.50
4. Step 4: Simplify right side
   82,198.50x = 12,407,397,932.25
5. Step 5: Solve for x
   x = 12,407,397,932.25/82,198.50
6. Step 6: Final answer
   x = 150,944.34