Finding the Third Proportional to 105,375 and 248,742

Step by Step Solution

1. Step 1: Write the proportion equation
   105,375 : 248,742 = 248,742 : x
2. Step 2: Convert to fraction form
   105,375/248,742 = 248,742/x
3. Step 3: Cross multiply
   105,375x = 248,742 × 248,742
4. Step 4: Simplify right side
   105,375x = 61,872,582,564
5. Step 5: Solve for x
   x = 61,872,582,564/105,375
6. Step 6: Final answer
   x = 587,165.67