Finding the Third Proportional to 212,904 and 333,984

Step by Step Solution

1. Step 1: Write the proportion equation
   212,904 : 333,984 = 333,984 : x
2. Step 2: Convert to fraction form
   212,904/333,984 = 333,984/x
3. Step 3: Cross multiply
   212,904x = 333,984 × 333,984
4. Step 4: Simplify right side
   212,904x = 111,545,312,256
5. Step 5: Solve for x
   x = 111,545,312,256/212,904
6. Step 6: Final answer
   x = 523,923.05