Finding the Third Proportional to 142,977 and 251,144

Step by Step Solution

1. Step 1: Write the proportion equation
   142,977 : 251,144 = 251,144 : x
2. Step 2: Convert to fraction form
   142,977/251,144 = 251,144/x
3. Step 3: Cross multiply
   142,977x = 251,144 × 251,144
4. Step 4: Simplify right side
   142,977x = 63,073,308,736
5. Step 5: Solve for x
   x = 63,073,308,736/142,977
6. Step 6: Final answer
   x = 441,143.04