Finding the Third Proportional to 165,815.50 and 355,286

Step by Step Solution

1. Step 1: Write the proportion equation
   165,815.50 : 355,286 = 355,286 : x
2. Step 2: Convert to fraction form
   165,815.50/355,286 = 355,286/x
3. Step 3: Cross multiply
   165,815.50x = 355,286 × 355,286
4. Step 4: Simplify right side
   165,815.50x = 126,228,141,796
5. Step 5: Solve for x
   x = 126,228,141,796/165,815.50
6. Step 6: Final answer
   x = 761,256.59