Finding the Third Proportional to 72,782 and 108,726

Step by Step Solution

1. Step 1: Write the proportion equation
   72,782 : 108,726 = 108,726 : x
2. Step 2: Convert to fraction form
   72,782/108,726 = 108,726/x
3. Step 3: Cross multiply
   72,782x = 108,726 × 108,726
4. Step 4: Simplify right side
   72,782x = 11,821,343,076
5. Step 5: Solve for x
   x = 11,821,343,076/72,782
6. Step 6: Final answer
   x = 162,421.25