Finding the Third Proportional to 402.47 and 591.89

Step by Step Solution

1. Step 1: Write the proportion equation
   402.47 : 591.89 = 591.89 : x
2. Step 2: Convert to fraction form
   402.47/591.89 = 591.89/x
3. Step 3: Cross multiply
   402.47x = 591.89 × 591.89
4. Step 4: Simplify right side
   402.47x = 350,334.51
5. Step 5: Solve for x
   x = 350,334.51/402.47
6. Step 6: Final answer
   x = 870.46