Finding the Third Proportional to 70.80 and 100.23

Step by Step Solution

1. Step 1: Write the proportion equation
   70.80 : 100.23 = 100.23 : x
2. Step 2: Convert to fraction form
   70.80/100.23 = 100.23/x
3. Step 3: Cross multiply
   70.80x = 100.23 × 100.23
4. Step 4: Simplify right side
   70.80x = 10,046.15
5. Step 5: Solve for x
   x = 10,046.15/70.80
6. Step 6: Final answer
   x = 141.89