Finding the Third Proportional to 82,652 and 179,040

Step by Step Solution

1. Step 1: Write the proportion equation
   82,652 : 179,040 = 179,040 : x
2. Step 2: Convert to fraction form
   82,652/179,040 = 179,040/x
3. Step 3: Cross multiply
   82,652x = 179,040 × 179,040
4. Step 4: Simplify right side
   82,652x = 32,055,321,600
5. Step 5: Solve for x
   x = 32,055,321,600/82,652
6. Step 6: Final answer
   x = 387,834.80