Finding the Third Proportional to 100.69 and 243.84

Step by Step Solution

1. Step 1: Write the proportion equation
   100.69 : 243.84 = 243.84 : x
2. Step 2: Convert to fraction form
   100.69/243.84 = 243.84/x
3. Step 3: Cross multiply
   100.69x = 243.84 × 243.84
4. Step 4: Simplify right side
   100.69x = 59,459.77
5. Step 5: Solve for x
   x = 59,459.77/100.69
6. Step 6: Final answer
   x = 590.54