Finding the Third Proportional to 92.25 and 215.63

Step by Step Solution

1. Step 1: Write the proportion equation
   92.25 : 215.63 = 215.63 : x
2. Step 2: Convert to fraction form
   92.25/215.63 = 215.63/x
3. Step 3: Cross multiply
   92.25x = 215.63 × 215.63
4. Step 4: Simplify right side
   92.25x = 46,494.14
5. Step 5: Solve for x
   x = 46,494.14/92.25
6. Step 6: Final answer
   x = 504.00