Finding the Third Proportional to 97.50 and 146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97.50 : 146.50 = 146.50 : x
2. Step 2: Convert to fraction form
   97.50/146.50 = 146.50/x
3. Step 3: Cross multiply
   97.50x = 146.50 × 146.50
4. Step 4: Simplify right side
   97.50x = 21,462.25
5. Step 5: Solve for x
   x = 21,462.25/97.50
6. Step 6: Final answer
   x = 220.13