Finding the Third Proportional to 165,780 and 361,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,780 : 361,921.50 = 361,921.50 : x
2. Step 2: Convert to fraction form
   165,780/361,921.50 = 361,921.50/x
3. Step 3: Cross multiply
   165,780x = 361,921.50 × 361,921.50
4. Step 4: Simplify right side
   165,780x = 130,987,172,162.25
5. Step 5: Solve for x
   x = 130,987,172,162.25/165,780
6. Step 6: Final answer
   x = 790,126.51