Finding the Third Proportional to 97.59 and 214.59

Step by Step Solution

1. Step 1: Write the proportion equation
   97.59 : 214.59 = 214.59 : x
2. Step 2: Convert to fraction form
   97.59/214.59 = 214.59/x
3. Step 3: Cross multiply
   97.59x = 214.59 × 214.59
4. Step 4: Simplify right side
   97.59x = 46,050.48
5. Step 5: Solve for x
   x = 46,050.48/97.59
6. Step 6: Final answer
   x = 471.86