Finding the Third Proportional to 82,890 and 179,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,890 : 179,023.50 = 179,023.50 : x
2. Step 2: Convert to fraction form
   82,890/179,023.50 = 179,023.50/x
3. Step 3: Cross multiply
   82,890x = 179,023.50 × 179,023.50
4. Step 4: Simplify right side
   82,890x = 32,049,413,552.25
5. Step 5: Solve for x
   x = 32,049,413,552.25/82,890
6. Step 6: Final answer
   x = 386,649.94