Finding the Third Proportional to 83,282.50 and 109,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,282.50 : 109,342.50 = 109,342.50 : x
2. Step 2: Convert to fraction form
   83,282.50/109,342.50 = 109,342.50/x
3. Step 3: Cross multiply
   83,282.50x = 109,342.50 × 109,342.50
4. Step 4: Simplify right side
   83,282.50x = 11,955,782,306.25
5. Step 5: Solve for x
   x = 11,955,782,306.25/83,282.50
6. Step 6: Final answer
   x = 143,556.96