Finding the Third Proportional to 100.69 and 235.22

Step by Step Solution

1. Step 1: Write the proportion equation
   100.69 : 235.22 = 235.22 : x
2. Step 2: Convert to fraction form
   100.69/235.22 = 235.22/x
3. Step 3: Cross multiply
   100.69x = 235.22 × 235.22
4. Step 4: Simplify right side
   100.69x = 55,327.86
5. Step 5: Solve for x
   x = 55,327.86/100.69
6. Step 6: Final answer
   x = 549.50