Finding the Third Proportional to 146,460 and 315,084

Step by Step Solution

1. Step 1: Write the proportion equation
   146,460 : 315,084 = 315,084 : x
2. Step 2: Convert to fraction form
   146,460/315,084 = 315,084/x
3. Step 3: Cross multiply
   146,460x = 315,084 × 315,084
4. Step 4: Simplify right side
   146,460x = 99,277,927,056
5. Step 5: Solve for x
   x = 99,277,927,056/146,460
6. Step 6: Final answer
   x = 677,850.11