Finding the Third Proportional to 165,996 and 355,659.75

Step by Step Solution

1. Step 1: Write the proportion equation
   165,996 : 355,659.75 = 355,659.75 : x
2. Step 2: Convert to fraction form
   165,996/355,659.75 = 355,659.75/x
3. Step 3: Cross multiply
   165,996x = 355,659.75 × 355,659.75
4. Step 4: Simplify right side
   165,996x = 126,493,857,770.06
5. Step 5: Solve for x
   x = 126,493,857,770.06/165,996
6. Step 6: Final answer
   x = 762,029.55