Finding the Third Proportional to 82,819.50 and 110,342.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,819.50 : 110,342.25 = 110,342.25 : x
2. Step 2: Convert to fraction form
   82,819.50/110,342.25 = 110,342.25/x
3. Step 3: Cross multiply
   82,819.50x = 110,342.25 × 110,342.25
4. Step 4: Simplify right side
   82,819.50x = 12,175,412,135.06
5. Step 5: Solve for x
   x = 12,175,412,135.06/82,819.50
6. Step 6: Final answer
   x = 147,011.42