Finding the Third Proportional to 140,712 and 296,004

Step by Step Solution

1. Step 1: Write the proportion equation
   140,712 : 296,004 = 296,004 : x
2. Step 2: Convert to fraction form
   140,712/296,004 = 296,004/x
3. Step 3: Cross multiply
   140,712x = 296,004 × 296,004
4. Step 4: Simplify right side
   140,712x = 87,618,368,016
5. Step 5: Solve for x
   x = 87,618,368,016/140,712
6. Step 6: Final answer
   x = 622,678.72