Finding the Third Proportional to 389,901 and 589,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   389,901 : 589,099.50 = 589,099.50 : x
2. Step 2: Convert to fraction form
   389,901/589,099.50 = 589,099.50/x
3. Step 3: Cross multiply
   389,901x = 589,099.50 × 589,099.50
4. Step 4: Simplify right side
   389,901x = 347,038,220,900.25
5. Step 5: Solve for x
   x = 347,038,220,900.25/389,901
6. Step 6: Final answer
   x = 890,067.53