Finding the Third Proportional to 140,708 and 287,146

Step by Step Solution

1. Step 1: Write the proportion equation
   140,708 : 287,146 = 287,146 : x
2. Step 2: Convert to fraction form
   140,708/287,146 = 287,146/x
3. Step 3: Cross multiply
   140,708x = 287,146 × 287,146
4. Step 4: Simplify right side
   140,708x = 82,452,825,316
5. Step 5: Solve for x
   x = 82,452,825,316/140,708
6. Step 6: Final answer
   x = 585,985.34