Finding the Third Proportional to 140,747 and 287,221

Step by Step Solution

1. Step 1: Write the proportion equation
   140,747 : 287,221 = 287,221 : x
2. Step 2: Convert to fraction form
   140,747/287,221 = 287,221/x
3. Step 3: Cross multiply
   140,747x = 287,221 × 287,221
4. Step 4: Simplify right side
   140,747x = 82,495,902,841
5. Step 5: Solve for x
   x = 82,495,902,841/140,747
6. Step 6: Final answer
   x = 586,129.03