Finding the Third Proportional to 289,735.50 and 461,028

Step by Step Solution

1. Step 1: Write the proportion equation
   289,735.50 : 461,028 = 461,028 : x
2. Step 2: Convert to fraction form
   289,735.50/461,028 = 461,028/x
3. Step 3: Cross multiply
   289,735.50x = 461,028 × 461,028
4. Step 4: Simplify right side
   289,735.50x = 212,546,816,784
5. Step 5: Solve for x
   x = 212,546,816,784/289,735.50
6. Step 6: Final answer
   x = 733,589.14