Finding the Third Proportional to 146,376 and 314,944

Step by Step Solution

1. Step 1: Write the proportion equation
   146,376 : 314,944 = 314,944 : x
2. Step 2: Convert to fraction form
   146,376/314,944 = 314,944/x
3. Step 3: Cross multiply
   146,376x = 314,944 × 314,944
4. Step 4: Simplify right side
   146,376x = 99,189,723,136
5. Step 5: Solve for x
   x = 99,189,723,136/146,376
6. Step 6: Final answer
   x = 677,636.52