Finding the Third Proportional to 83.50 and 184.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83.50 : 184.75 = 184.75 : x
2. Step 2: Convert to fraction form
   83.50/184.75 = 184.75/x
3. Step 3: Cross multiply
   83.50x = 184.75 × 184.75
4. Step 4: Simplify right side
   83.50x = 34,132.56
5. Step 5: Solve for x
   x = 34,132.56/83.50
6. Step 6: Final answer
   x = 408.77