Finding the Third Proportional to 138,856 and 287,558

Step by Step Solution

1. Step 1: Write the proportion equation
   138,856 : 287,558 = 287,558 : x
2. Step 2: Convert to fraction form
   138,856/287,558 = 287,558/x
3. Step 3: Cross multiply
   138,856x = 287,558 × 287,558
4. Step 4: Simplify right side
   138,856x = 82,689,603,364
5. Step 5: Solve for x
   x = 82,689,603,364/138,856
6. Step 6: Final answer
   x = 595,506.16