Finding the Third Proportional to 99.98 and 146.39

Step by Step Solution

1. Step 1: Write the proportion equation
   99.98 : 146.39 = 146.39 : x
2. Step 2: Convert to fraction form
   99.98/146.39 = 146.39/x
3. Step 3: Cross multiply
   99.98x = 146.39 × 146.39
4. Step 4: Simplify right side
   99.98x = 21,430.22
5. Step 5: Solve for x
   x = 21,430.22/99.98
6. Step 6: Final answer
   x = 214.34