Finding the Third Proportional to 82,752 and 179,904

Step by Step Solution

1. Step 1: Write the proportion equation
   82,752 : 179,904 = 179,904 : x
2. Step 2: Convert to fraction form
   82,752/179,904 = 179,904/x
3. Step 3: Cross multiply
   82,752x = 179,904 × 179,904
4. Step 4: Simplify right side
   82,752x = 32,365,449,216
5. Step 5: Solve for x
   x = 32,365,449,216/82,752
6. Step 6: Final answer
   x = 391,113.80