Finding the Third Proportional to 100.62 and 146.18

Step by Step Solution

1. Step 1: Write the proportion equation
   100.62 : 146.18 = 146.18 : x
2. Step 2: Convert to fraction form
   100.62/146.18 = 146.18/x
3. Step 3: Cross multiply
   100.62x = 146.18 × 146.18
4. Step 4: Simplify right side
   100.62x = 21,368.50
5. Step 5: Solve for x
   x = 21,368.50/100.62
6. Step 6: Final answer
   x = 212.37