Finding the Third Proportional to 140,714 and 296,006

Step by Step Solution

1. Step 1: Write the proportion equation
   140,714 : 296,006 = 296,006 : x
2. Step 2: Convert to fraction form
   140,714/296,006 = 296,006/x
3. Step 3: Cross multiply
   140,714x = 296,006 × 296,006
4. Step 4: Simplify right side
   140,714x = 87,619,552,036
5. Step 5: Solve for x
   x = 87,619,552,036/140,714
6. Step 6: Final answer
   x = 622,678.28