Finding the Third Proportional to 97.61 and 214.83

Step by Step Solution

1. Step 1: Write the proportion equation
   97.61 : 214.83 = 214.83 : x
2. Step 2: Convert to fraction form
   97.61/214.83 = 214.83/x
3. Step 3: Cross multiply
   97.61x = 214.83 × 214.83
4. Step 4: Simplify right side
   97.61x = 46,151.12
5. Step 5: Solve for x
   x = 46,151.12/97.61
6. Step 6: Final answer
   x = 472.81