Finding the Third Proportional to 82,764.28 and 111,776.20

Step by Step Solution

1. Step 1: Write the proportion equation
   82,764.28 : 111,776.20 = 111,776.20 : x
2. Step 2: Convert to fraction form
   82,764.28/111,776.20 = 111,776.20/x
3. Step 3: Cross multiply
   82,764.28x = 111,776.20 × 111,776.20
4. Step 4: Simplify right side
   82,764.28x = 12,493,919,585.04
5. Step 5: Solve for x
   x = 12,493,919,585.04/82,764.28
6. Step 6: Final answer
   x = 150,957.87