Finding the Third Proportional to 146,332 and 314,494

Step by Step Solution

1. Step 1: Write the proportion equation
   146,332 : 314,494 = 314,494 : x
2. Step 2: Convert to fraction form
   146,332/314,494 = 314,494/x
3. Step 3: Cross multiply
   146,332x = 314,494 × 314,494
4. Step 4: Simplify right side
   146,332x = 98,906,476,036
5. Step 5: Solve for x
   x = 98,906,476,036/146,332
6. Step 6: Final answer
   x = 675,904.63