Finding the Third Proportional to 79,779 and 162,174

Step by Step Solution

1. Step 1: Write the proportion equation
   79,779 : 162,174 = 162,174 : x
2. Step 2: Convert to fraction form
   79,779/162,174 = 162,174/x
3. Step 3: Cross multiply
   79,779x = 162,174 × 162,174
4. Step 4: Simplify right side
   79,779x = 26,300,406,276
5. Step 5: Solve for x
   x = 26,300,406,276/79,779
6. Step 6: Final answer
   x = 329,665.78