Finding the Third Proportional to 72.14 and 184.15

Step by Step Solution

1. Step 1: Write the proportion equation
   72.14 : 184.15 = 184.15 : x
2. Step 2: Convert to fraction form
   72.14/184.15 = 184.15/x
3. Step 3: Cross multiply
   72.14x = 184.15 × 184.15
4. Step 4: Simplify right side
   72.14x = 33,910.65
5. Step 5: Solve for x
   x = 33,910.65/72.14
6. Step 6: Final answer
   x = 470.06