Finding the Third Proportional to 85,366 and 179,724

Step by Step Solution

1. Step 1: Write the proportion equation
   85,366 : 179,724 = 179,724 : x
2. Step 2: Convert to fraction form
   85,366/179,724 = 179,724/x
3. Step 3: Cross multiply
   85,366x = 179,724 × 179,724
4. Step 4: Simplify right side
   85,366x = 32,300,716,176
5. Step 5: Solve for x
   x = 32,300,716,176/85,366
6. Step 6: Final answer
   x = 378,379.17