Finding the Third Proportional to 389.50 and 592.25

Step by Step Solution

1. Step 1: Write the proportion equation
   389.50 : 592.25 = 592.25 : x
2. Step 2: Convert to fraction form
   389.50/592.25 = 592.25/x
3. Step 3: Cross multiply
   389.50x = 592.25 × 592.25
4. Step 4: Simplify right side
   389.50x = 350,760.06
5. Step 5: Solve for x
   x = 350,760.06/389.50
6. Step 6: Final answer
   x = 900.54