Finding the Third Proportional to 78,066 and 165,858

Step by Step Solution

1. Step 1: Write the proportion equation
   78,066 : 165,858 = 165,858 : x
2. Step 2: Convert to fraction form
   78,066/165,858 = 165,858/x
3. Step 3: Cross multiply
   78,066x = 165,858 × 165,858
4. Step 4: Simplify right side
   78,066x = 27,508,876,164
5. Step 5: Solve for x
   x = 27,508,876,164/78,066
6. Step 6: Final answer
   x = 352,379.73