Finding the Third Proportional to 82,917 and 179,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,917 : 179,077.50 = 179,077.50 : x
2. Step 2: Convert to fraction form
   82,917/179,077.50 = 179,077.50/x
3. Step 3: Cross multiply
   82,917x = 179,077.50 × 179,077.50
4. Step 4: Simplify right side
   82,917x = 32,068,751,006.25
5. Step 5: Solve for x
   x = 32,068,751,006.25/82,917
6. Step 6: Final answer
   x = 386,757.25