Finding the Third Proportional to 105,384 and 251,892

Step by Step Solution

1. Step 1: Write the proportion equation
   105,384 : 251,892 = 251,892 : x
2. Step 2: Convert to fraction form
   105,384/251,892 = 251,892/x
3. Step 3: Cross multiply
   105,384x = 251,892 × 251,892
4. Step 4: Simplify right side
   105,384x = 63,449,579,664
5. Step 5: Solve for x
   x = 63,449,579,664/105,384
6. Step 6: Final answer
   x = 602,079.82