Finding the Third Proportional to 165,792 and 361,008

Step by Step Solution

1. Step 1: Write the proportion equation
   165,792 : 361,008 = 361,008 : x
2. Step 2: Convert to fraction form
   165,792/361,008 = 361,008/x
3. Step 3: Cross multiply
   165,792x = 361,008 × 361,008
4. Step 4: Simplify right side
   165,792x = 130,326,776,064
5. Step 5: Solve for x
   x = 130,326,776,064/165,792
6. Step 6: Final answer
   x = 786,086.04