Finding the Third Proportional to 81,862 and 179,308

Step by Step Solution

1. Step 1: Write the proportion equation
   81,862 : 179,308 = 179,308 : x
2. Step 2: Convert to fraction form
   81,862/179,308 = 179,308/x
3. Step 3: Cross multiply
   81,862x = 179,308 × 179,308
4. Step 4: Simplify right side
   81,862x = 32,151,358,864
5. Step 5: Solve for x
   x = 32,151,358,864/81,862
6. Step 6: Final answer
   x = 392,750.71