Finding the Third Proportional to 165,010 and 359,648

Step by Step Solution

1. Step 1: Write the proportion equation
   165,010 : 359,648 = 359,648 : x
2. Step 2: Convert to fraction form
   165,010/359,648 = 359,648/x
3. Step 3: Cross multiply
   165,010x = 359,648 × 359,648
4. Step 4: Simplify right side
   165,010x = 129,346,683,904
5. Step 5: Solve for x
   x = 129,346,683,904/165,010
6. Step 6: Final answer
   x = 783,871.79