Finding the Third Proportional to 82,820.50 and 110,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,820.50 : 110,343.50 = 110,343.50 : x
2. Step 2: Convert to fraction form
   82,820.50/110,343.50 = 110,343.50/x
3. Step 3: Cross multiply
   82,820.50x = 110,343.50 × 110,343.50
4. Step 4: Simplify right side
   82,820.50x = 12,175,687,992.25
5. Step 5: Solve for x
   x = 12,175,687,992.25/82,820.50
6. Step 6: Final answer
   x = 147,012.97