Finding the Third Proportional to 97.52 and 212.20

Step by Step Solution

1. Step 1: Write the proportion equation
   97.52 : 212.20 = 212.20 : x
2. Step 2: Convert to fraction form
   97.52/212.20 = 212.20/x
3. Step 3: Cross multiply
   97.52x = 212.20 × 212.20
4. Step 4: Simplify right side
   97.52x = 45,030.17
5. Step 5: Solve for x
   x = 45,030.17/97.52
6. Step 6: Final answer
   x = 461.74