Finding the Third Proportional to 82,346.25 and 179,752

Step by Step Solution

1. Step 1: Write the proportion equation
   82,346.25 : 179,752 = 179,752 : x
2. Step 2: Convert to fraction form
   82,346.25/179,752 = 179,752/x
3. Step 3: Cross multiply
   82,346.25x = 179,752 × 179,752
4. Step 4: Simplify right side
   82,346.25x = 32,310,781,504
5. Step 5: Solve for x
   x = 32,310,781,504/82,346.25
6. Step 6: Final answer
   x = 392,377.08