Finding the Third Proportional to 78,934 and 165,164

Step by Step Solution

1. Step 1: Write the proportion equation
   78,934 : 165,164 = 165,164 : x
2. Step 2: Convert to fraction form
   78,934/165,164 = 165,164/x
3. Step 3: Cross multiply
   78,934x = 165,164 × 165,164
4. Step 4: Simplify right side
   78,934x = 27,279,146,896
5. Step 5: Solve for x
   x = 27,279,146,896/78,934
6. Step 6: Final answer
   x = 345,594.38