Finding the Third Proportional to 142,056 and 315,642

Step by Step Solution

1. Step 1: Write the proportion equation
   142,056 : 315,642 = 315,642 : x
2. Step 2: Convert to fraction form
   142,056/315,642 = 315,642/x
3. Step 3: Cross multiply
   142,056x = 315,642 × 315,642
4. Step 4: Simplify right side
   142,056x = 99,629,872,164
5. Step 5: Solve for x
   x = 99,629,872,164/142,056
6. Step 6: Final answer
   x = 701,342.23