Finding the Third Proportional to 436.50 and 654.47

Step by Step Solution

1. Step 1: Write the proportion equation
   436.50 : 654.47 = 654.47 : x
2. Step 2: Convert to fraction form
   436.50/654.47 = 654.47/x
3. Step 3: Cross multiply
   436.50x = 654.47 × 654.47
4. Step 4: Simplify right side
   436.50x = 428,329.34
5. Step 5: Solve for x
   x = 428,329.34/436.50
6. Step 6: Final answer
   x = 981.28