Finding the Third Proportional to 235.69 and 314.86

Step by Step Solution

1. Step 1: Write the proportion equation
   235.69 : 314.86 = 314.86 : x
2. Step 2: Convert to fraction form
   235.69/314.86 = 314.86/x
3. Step 3: Cross multiply
   235.69x = 314.86 × 314.86
4. Step 4: Simplify right side
   235.69x = 99,136.43
5. Step 5: Solve for x
   x = 99,136.43/235.69
6. Step 6: Final answer
   x = 420.63