Finding the Third Proportional to 146,320 and 314,464

Step by Step Solution

1. Step 1: Write the proportion equation
   146,320 : 314,464 = 314,464 : x
2. Step 2: Convert to fraction form
   146,320/314,464 = 314,464/x
3. Step 3: Cross multiply
   146,320x = 314,464 × 314,464
4. Step 4: Simplify right side
   146,320x = 98,887,607,296
5. Step 5: Solve for x
   x = 98,887,607,296/146,320
6. Step 6: Final answer
   x = 675,831.11