Finding the Third Proportional to 84.38 and 123.47

Step by Step Solution

1. Step 1: Write the proportion equation
   84.38 : 123.47 = 123.47 : x
2. Step 2: Convert to fraction form
   84.38/123.47 = 123.47/x
3. Step 3: Cross multiply
   84.38x = 123.47 × 123.47
4. Step 4: Simplify right side
   84.38x = 15,244.53
5. Step 5: Solve for x
   x = 15,244.53/84.38
6. Step 6: Final answer
   x = 180.68