Finding the Third Proportional to 98.51 and 146.57

Step by Step Solution

1. Step 1: Write the proportion equation
   98.51 : 146.57 = 146.57 : x
2. Step 2: Convert to fraction form
   98.51/146.57 = 146.57/x
3. Step 3: Cross multiply
   98.51x = 146.57 × 146.57
4. Step 4: Simplify right side
   98.51x = 21,481.39
5. Step 5: Solve for x
   x = 21,481.39/98.51
6. Step 6: Final answer
   x = 218.06