Finding the Third Proportional to 72,782 and 109,275

Step by Step Solution

1. Step 1: Write the proportion equation
   72,782 : 109,275 = 109,275 : x
2. Step 2: Convert to fraction form
   72,782/109,275 = 109,275/x
3. Step 3: Cross multiply
   72,782x = 109,275 × 109,275
4. Step 4: Simplify right side
   72,782x = 11,941,025,625
5. Step 5: Solve for x
   x = 11,941,025,625/72,782
6. Step 6: Final answer
   x = 164,065.64