Finding the Third Proportional to 140,724 and 287,178

Step by Step Solution

1. Step 1: Write the proportion equation
   140,724 : 287,178 = 287,178 : x
2. Step 2: Convert to fraction form
   140,724/287,178 = 287,178/x
3. Step 3: Cross multiply
   140,724x = 287,178 × 287,178
4. Step 4: Simplify right side
   140,724x = 82,471,203,684
5. Step 5: Solve for x
   x = 82,471,203,684/140,724
6. Step 6: Final answer
   x = 586,049.31