Finding the Third Proportional to 144,384 and 213,732

Step by Step Solution

1. Step 1: Write the proportion equation
   144,384 : 213,732 = 213,732 : x
2. Step 2: Convert to fraction form
   144,384/213,732 = 213,732/x
3. Step 3: Cross multiply
   144,384x = 213,732 × 213,732
4. Step 4: Simplify right side
   144,384x = 45,681,367,824
5. Step 5: Solve for x
   x = 45,681,367,824/144,384
6. Step 6: Final answer
   x = 316,388.02