Finding the Third Proportional to 150,872 and 314,144

Step by Step Solution

1. Step 1: Write the proportion equation
   150,872 : 314,144 = 314,144 : x
2. Step 2: Convert to fraction form
   150,872/314,144 = 314,144/x
3. Step 3: Cross multiply
   150,872x = 314,144 × 314,144
4. Step 4: Simplify right side
   150,872x = 98,686,452,736
5. Step 5: Solve for x
   x = 98,686,452,736/150,872
6. Step 6: Final answer
   x = 654,107.14