Finding the Third Proportional to 100.19 and 116.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100.19 : 116.69 = 116.69 : x
2. Step 2: Convert to fraction form
   100.19/116.69 = 116.69/x
3. Step 3: Cross multiply
   100.19x = 116.69 × 116.69
4. Step 4: Simplify right side
   100.19x = 13,615.97
5. Step 5: Solve for x
   x = 13,615.97/100.19
6. Step 6: Final answer
   x = 135.90