Finding the Third Proportional to 78,932 and 165,160

Step by Step Solution

1. Step 1: Write the proportion equation
   78,932 : 165,160 = 165,160 : x
2. Step 2: Convert to fraction form
   78,932/165,160 = 165,160/x
3. Step 3: Cross multiply
   78,932x = 165,160 × 165,160
4. Step 4: Simplify right side
   78,932x = 27,277,825,600
5. Step 5: Solve for x
   x = 27,277,825,600/78,932
6. Step 6: Final answer
   x = 345,586.40