Finding the Third Proportional to 83,249 and 182,039

Step by Step Solution

1. Step 1: Write the proportion equation
   83,249 : 182,039 = 182,039 : x
2. Step 2: Convert to fraction form
   83,249/182,039 = 182,039/x
3. Step 3: Cross multiply
   83,249x = 182,039 × 182,039
4. Step 4: Simplify right side
   83,249x = 33,138,197,521
5. Step 5: Solve for x
   x = 33,138,197,521/83,249
6. Step 6: Final answer
   x = 398,061.21