Finding the Third Proportional to 80,951 and 165,114

Step by Step Solution

1. Step 1: Write the proportion equation
   80,951 : 165,114 = 165,114 : x
2. Step 2: Convert to fraction form
   80,951/165,114 = 165,114/x
3. Step 3: Cross multiply
   80,951x = 165,114 × 165,114
4. Step 4: Simplify right side
   80,951x = 27,262,632,996
5. Step 5: Solve for x
   x = 27,262,632,996/80,951
6. Step 6: Final answer
   x = 336,779.45