Finding the Third Proportional to 83.53 and 183.52

Step by Step Solution

1. Step 1: Write the proportion equation
   83.53 : 183.52 = 183.52 : x
2. Step 2: Convert to fraction form
   83.53/183.52 = 183.52/x
3. Step 3: Cross multiply
   83.53x = 183.52 × 183.52
4. Step 4: Simplify right side
   83.53x = 33,677.98
5. Step 5: Solve for x
   x = 33,677.98/83.53
6. Step 6: Final answer
   x = 403.18