Finding the Third Proportional to 140,711 and 296,002

Step by Step Solution

1. Step 1: Write the proportion equation
   140,711 : 296,002 = 296,002 : x
2. Step 2: Convert to fraction form
   140,711/296,002 = 296,002/x
3. Step 3: Cross multiply
   140,711x = 296,002 × 296,002
4. Step 4: Simplify right side
   140,711x = 87,617,184,004
5. Step 5: Solve for x
   x = 87,617,184,004/140,711
6. Step 6: Final answer
   x = 622,674.73