Finding the Third Proportional to 91.69 and 218.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91.69 : 218.25 = 218.25 : x
2. Step 2: Convert to fraction form
   91.69/218.25 = 218.25/x
3. Step 3: Cross multiply
   91.69x = 218.25 × 218.25
4. Step 4: Simplify right side
   91.69x = 47,633.06
5. Step 5: Solve for x
   x = 47,633.06/91.69
6. Step 6: Final answer
   x = 519.52