Finding the Third Proportional to 85,564 and 185,384

Step by Step Solution

1. Step 1: Write the proportion equation
   85,564 : 185,384 = 185,384 : x
2. Step 2: Convert to fraction form
   85,564/185,384 = 185,384/x
3. Step 3: Cross multiply
   85,564x = 185,384 × 185,384
4. Step 4: Simplify right side
   85,564x = 34,367,227,456
5. Step 5: Solve for x
   x = 34,367,227,456/85,564
6. Step 6: Final answer
   x = 401,655.22