Finding the Third Proportional to 146,384 and 314,960

Step by Step Solution

1. Step 1: Write the proportion equation
   146,384 : 314,960 = 314,960 : x
2. Step 2: Convert to fraction form
   146,384/314,960 = 314,960/x
3. Step 3: Cross multiply
   146,384x = 314,960 × 314,960
4. Step 4: Simplify right side
   146,384x = 99,199,801,600
5. Step 5: Solve for x
   x = 99,199,801,600/146,384
6. Step 6: Final answer
   x = 677,668.34