Finding the Third Proportional to 165,024 and 361,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,024 : 361,603.50 = 361,603.50 : x
2. Step 2: Convert to fraction form
   165,024/361,603.50 = 361,603.50/x
3. Step 3: Cross multiply
   165,024x = 361,603.50 × 361,603.50
4. Step 4: Simplify right side
   165,024x = 130,757,091,212.25
5. Step 5: Solve for x
   x = 130,757,091,212.25/165,024
6. Step 6: Final answer
   x = 792,351.97