Finding the Third Proportional to 187,344 and 287,256

Step by Step Solution

1. Step 1: Write the proportion equation
   187,344 : 287,256 = 287,256 : x
2. Step 2: Convert to fraction form
   187,344/287,256 = 287,256/x
3. Step 3: Cross multiply
   187,344x = 287,256 × 287,256
4. Step 4: Simplify right side
   187,344x = 82,516,009,536
5. Step 5: Solve for x
   x = 82,516,009,536/187,344
6. Step 6: Final answer
   x = 440,451.84