Finding the Third Proportional to 83.50 and 123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83.50 : 123.50 = 123.50 : x
2. Step 2: Convert to fraction form
   83.50/123.50 = 123.50/x
3. Step 3: Cross multiply
   83.50x = 123.50 × 123.50
4. Step 4: Simplify right side
   83.50x = 15,252.25
5. Step 5: Solve for x
   x = 15,252.25/83.50
6. Step 6: Final answer
   x = 182.66