Finding the Third Proportional to 166,743 and 359,730

Step by Step Solution

1. Step 1: Write the proportion equation
   166,743 : 359,730 = 359,730 : x
2. Step 2: Convert to fraction form
   166,743/359,730 = 359,730/x
3. Step 3: Cross multiply
   166,743x = 359,730 × 359,730
4. Step 4: Simplify right side
   166,743x = 129,405,672,900
5. Step 5: Solve for x
   x = 129,405,672,900/166,743
6. Step 6: Final answer
   x = 776,078.59