Finding the Third Proportional to 261,367.50 and 384,396

Step by Step Solution

1. Step 1: Write the proportion equation
   261,367.50 : 384,396 = 384,396 : x
2. Step 2: Convert to fraction form
   261,367.50/384,396 = 384,396/x
3. Step 3: Cross multiply
   261,367.50x = 384,396 × 384,396
4. Step 4: Simplify right side
   261,367.50x = 147,760,284,816
5. Step 5: Solve for x
   x = 147,760,284,816/261,367.50
6. Step 6: Final answer
   x = 565,335.34