Finding the Third Proportional to 138,972 and 287,472

Step by Step Solution

1. Step 1: Write the proportion equation
   138,972 : 287,472 = 287,472 : x
2. Step 2: Convert to fraction form
   138,972/287,472 = 287,472/x
3. Step 3: Cross multiply
   138,972x = 287,472 × 287,472
4. Step 4: Simplify right side
   138,972x = 82,640,150,784
5. Step 5: Solve for x
   x = 82,640,150,784/138,972
6. Step 6: Final answer
   x = 594,653.25