Finding the Third Proportional to 165,150 and 361,944

Step by Step Solution

1. Step 1: Write the proportion equation
   165,150 : 361,944 = 361,944 : x
2. Step 2: Convert to fraction form
   165,150/361,944 = 361,944/x
3. Step 3: Cross multiply
   165,150x = 361,944 × 361,944
4. Step 4: Simplify right side
   165,150x = 131,003,459,136
5. Step 5: Solve for x
   x = 131,003,459,136/165,150
6. Step 6: Final answer
   x = 793,239.23