Finding the Third Proportional to 165,807 and 355,271.06

Step by Step Solution

1. Step 1: Write the proportion equation
   165,807 : 355,271.06 = 355,271.06 : x
2. Step 2: Convert to fraction form
   165,807/355,271.06 = 355,271.06/x
3. Step 3: Cross multiply
   165,807x = 355,271.06 × 355,271.06
4. Step 4: Simplify right side
   165,807x = 126,217,527,849.88
5. Step 5: Solve for x
   x = 126,217,527,849.88/165,807
6. Step 6: Final answer
   x = 761,231.60