Finding the Third Proportional to 146,320 and 213,904

Step by Step Solution

1. Step 1: Write the proportion equation
   146,320 : 213,904 = 213,904 : x
2. Step 2: Convert to fraction form
   146,320/213,904 = 213,904/x
3. Step 3: Cross multiply
   146,320x = 213,904 × 213,904
4. Step 4: Simplify right side
   146,320x = 45,754,921,216
5. Step 5: Solve for x
   x = 45,754,921,216/146,320
6. Step 6: Final answer
   x = 312,704.49