Finding the Third Proportional to 84.72 and 186.52

Step by Step Solution

1. Step 1: Write the proportion equation
   84.72 : 186.52 = 186.52 : x
2. Step 2: Convert to fraction form
   84.72/186.52 = 186.52/x
3. Step 3: Cross multiply
   84.72x = 186.52 × 186.52
4. Step 4: Simplify right side
   84.72x = 34,790.26
5. Step 5: Solve for x
   x = 34,790.26/84.72
6. Step 6: Final answer
   x = 410.66