Finding the Third Proportional to 91.34 and 215.58

Step by Step Solution

1. Step 1: Write the proportion equation
   91.34 : 215.58 = 215.58 : x
2. Step 2: Convert to fraction form
   91.34/215.58 = 215.58/x
3. Step 3: Cross multiply
   91.34x = 215.58 × 215.58
4. Step 4: Simplify right side
   91.34x = 46,473.93
5. Step 5: Solve for x
   x = 46,473.93/91.34
6. Step 6: Final answer
   x = 508.82