Finding the Third Proportional to 99.75 and 146.06

Step by Step Solution

1. Step 1: Write the proportion equation
   99.75 : 146.06 = 146.06 : x
2. Step 2: Convert to fraction form
   99.75/146.06 = 146.06/x
3. Step 3: Cross multiply
   99.75x = 146.06 × 146.06
4. Step 4: Simplify right side
   99.75x = 21,334.25
5. Step 5: Solve for x
   x = 21,334.25/99.75
6. Step 6: Final answer
   x = 213.88