Finding the Third Proportional to 200.47 and 431.78

Step by Step Solution

1. Step 1: Write the proportion equation
   200.47 : 431.78 = 431.78 : x
2. Step 2: Convert to fraction form
   200.47/431.78 = 431.78/x
3. Step 3: Cross multiply
   200.47x = 431.78 × 431.78
4. Step 4: Simplify right side
   200.47x = 186,435.05
5. Step 5: Solve for x
   x = 186,435.05/200.47
6. Step 6: Final answer
   x = 930.00