Finding the Third Proportional to 79,746 and 165,095

Step by Step Solution

1. Step 1: Write the proportion equation
   79,746 : 165,095 = 165,095 : x
2. Step 2: Convert to fraction form
   79,746/165,095 = 165,095/x
3. Step 3: Cross multiply
   79,746x = 165,095 × 165,095
4. Step 4: Simplify right side
   79,746x = 27,256,359,025
5. Step 5: Solve for x
   x = 27,256,359,025/79,746
6. Step 6: Final answer
   x = 341,789.67