Finding the Third Proportional to 146,084 and 314,680

Step by Step Solution

1. Step 1: Write the proportion equation
   146,084 : 314,680 = 314,680 : x
2. Step 2: Convert to fraction form
   146,084/314,680 = 314,680/x
3. Step 3: Cross multiply
   146,084x = 314,680 × 314,680
4. Step 4: Simplify right side
   146,084x = 99,023,502,400
5. Step 5: Solve for x
   x = 99,023,502,400/146,084
6. Step 6: Final answer
   x = 677,853.17