Finding the Third Proportional to 85,424 and 181,359

Step by Step Solution

1. Step 1: Write the proportion equation
   85,424 : 181,359 = 181,359 : x
2. Step 2: Convert to fraction form
   85,424/181,359 = 181,359/x
3. Step 3: Cross multiply
   85,424x = 181,359 × 181,359
4. Step 4: Simplify right side
   85,424x = 32,891,086,881
5. Step 5: Solve for x
   x = 32,891,086,881/85,424
6. Step 6: Final answer
   x = 385,033.33