Finding the Third Proportional to 91.69 and 200.53

Step by Step Solution

1. Step 1: Write the proportion equation
   91.69 : 200.53 = 200.53 : x
2. Step 2: Convert to fraction form
   91.69/200.53 = 200.53/x
3. Step 3: Cross multiply
   91.69x = 200.53 × 200.53
4. Step 4: Simplify right side
   91.69x = 40,212.78
5. Step 5: Solve for x
   x = 40,212.78/91.69
6. Step 6: Final answer
   x = 438.59