Finding the Third Proportional to 40,764 and 83,256

Step by Step Solution

1. Step 1: Write the proportion equation
   40,764 : 83,256 = 83,256 : x
2. Step 2: Convert to fraction form
   40,764/83,256 = 83,256/x
3. Step 3: Cross multiply
   40,764x = 83,256 × 83,256
4. Step 4: Simplify right side
   40,764x = 6,931,561,536
5. Step 5: Solve for x
   x = 6,931,561,536/40,764
6. Step 6: Final answer
   x = 170,041.25