Finding the Third Proportional to 140,724 and 287,188

Step by Step Solution

1. Step 1: Write the proportion equation
   140,724 : 287,188 = 287,188 : x
2. Step 2: Convert to fraction form
   140,724/287,188 = 287,188/x
3. Step 3: Cross multiply
   140,724x = 287,188 × 287,188
4. Step 4: Simplify right side
   140,724x = 82,476,947,344
5. Step 5: Solve for x
   x = 82,476,947,344/140,724
6. Step 6: Final answer
   x = 586,090.13