Finding the Third Proportional to 142,066 and 315,662

Step by Step Solution

1. Step 1: Write the proportion equation
   142,066 : 315,662 = 315,662 : x
2. Step 2: Convert to fraction form
   142,066/315,662 = 315,662/x
3. Step 3: Cross multiply
   142,066x = 315,662 × 315,662
4. Step 4: Simplify right side
   142,066x = 99,642,498,244
5. Step 5: Solve for x
   x = 99,642,498,244/142,066
6. Step 6: Final answer
   x = 701,381.74