Finding the Third Proportional to 80,778 and 165,584

Step by Step Solution

1. Step 1: Write the proportion equation
   80,778 : 165,584 = 165,584 : x
2. Step 2: Convert to fraction form
   80,778/165,584 = 165,584/x
3. Step 3: Cross multiply
   80,778x = 165,584 × 165,584
4. Step 4: Simplify right side
   80,778x = 27,418,061,056
5. Step 5: Solve for x
   x = 27,418,061,056/80,778
6. Step 6: Final answer
   x = 339,424.86