Finding the Third Proportional to 85,474 and 182,564

Step by Step Solution

1. Step 1: Write the proportion equation
   85,474 : 182,564 = 182,564 : x
2. Step 2: Convert to fraction form
   85,474/182,564 = 182,564/x
3. Step 3: Cross multiply
   85,474x = 182,564 × 182,564
4. Step 4: Simplify right side
   85,474x = 33,329,614,096
5. Step 5: Solve for x
   x = 33,329,614,096/85,474
6. Step 6: Final answer
   x = 389,938.63