Finding the Third Proportional to 85,466 and 182,594

Step by Step Solution

1. Step 1: Write the proportion equation
   85,466 : 182,594 = 182,594 : x
2. Step 2: Convert to fraction form
   85,466/182,594 = 182,594/x
3. Step 3: Cross multiply
   85,466x = 182,594 × 182,594
4. Step 4: Simplify right side
   85,466x = 33,340,568,836
5. Step 5: Solve for x
   x = 33,340,568,836/85,466
6. Step 6: Final answer
   x = 390,103.30