Finding the Third Proportional to 83,233 and 182,037

Step by Step Solution

1. Step 1: Write the proportion equation
   83,233 : 182,037 = 182,037 : x
2. Step 2: Convert to fraction form
   83,233/182,037 = 182,037/x
3. Step 3: Cross multiply
   83,233x = 182,037 × 182,037
4. Step 4: Simplify right side
   83,233x = 33,137,469,369
5. Step 5: Solve for x
   x = 33,137,469,369/83,233
6. Step 6: Final answer
   x = 398,128.98