Finding the Third Proportional to 140,740 and 287,208

Step by Step Solution

1. Step 1: Write the proportion equation
   140,740 : 287,208 = 287,208 : x
2. Step 2: Convert to fraction form
   140,740/287,208 = 287,208/x
3. Step 3: Cross multiply
   140,740x = 287,208 × 287,208
4. Step 4: Simplify right side
   140,740x = 82,488,435,264
5. Step 5: Solve for x
   x = 82,488,435,264/140,740
6. Step 6: Final answer
   x = 586,105.12