Finding the Third Proportional to 82,091 and 179,751

Step by Step Solution

1. Step 1: Write the proportion equation
   82,091 : 179,751 = 179,751 : x
2. Step 2: Convert to fraction form
   82,091/179,751 = 179,751/x
3. Step 3: Cross multiply
   82,091x = 179,751 × 179,751
4. Step 4: Simplify right side
   82,091x = 32,310,422,001
5. Step 5: Solve for x
   x = 32,310,422,001/82,091
6. Step 6: Final answer
   x = 393,592.74