Finding the Third Proportional to 82,726 and 179,448

Step by Step Solution

1. Step 1: Write the proportion equation
   82,726 : 179,448 = 179,448 : x
2. Step 2: Convert to fraction form
   82,726/179,448 = 179,448/x
3. Step 3: Cross multiply
   82,726x = 179,448 × 179,448
4. Step 4: Simplify right side
   82,726x = 32,201,584,704
5. Step 5: Solve for x
   x = 32,201,584,704/82,726
6. Step 6: Final answer
   x = 389,255.91