Finding the Third Proportional to 150,927 and 314,355

Step by Step Solution

1. Step 1: Write the proportion equation
   150,927 : 314,355 = 314,355 : x
2. Step 2: Convert to fraction form
   150,927/314,355 = 314,355/x
3. Step 3: Cross multiply
   150,927x = 314,355 × 314,355
4. Step 4: Simplify right side
   150,927x = 98,819,066,025
5. Step 5: Solve for x
   x = 98,819,066,025/150,927
6. Step 6: Final answer
   x = 654,747.43