Finding the Third Proportional to 83.69 and 182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83.69 : 182.50 = 182.50 : x
2. Step 2: Convert to fraction form
   83.69/182.50 = 182.50/x
3. Step 3: Cross multiply
   83.69x = 182.50 × 182.50
4. Step 4: Simplify right side
   83.69x = 33,306.25
5. Step 5: Solve for x
   x = 33,306.25/83.69
6. Step 6: Final answer
   x = 397.98