Finding the Third Proportional to 140,653 and 301,627

Step by Step Solution

1. Step 1: Write the proportion equation
   140,653 : 301,627 = 301,627 : x
2. Step 2: Convert to fraction form
   140,653/301,627 = 301,627/x
3. Step 3: Cross multiply
   140,653x = 301,627 × 301,627
4. Step 4: Simplify right side
   140,653x = 90,978,847,129
5. Step 5: Solve for x
   x = 90,978,847,129/140,653
6. Step 6: Final answer
   x = 646,831.90