Finding the Third Proportional to 49,242 and 105,492

Step by Step Solution

1. Step 1: Write the proportion equation
   49,242 : 105,492 = 105,492 : x
2. Step 2: Convert to fraction form
   49,242/105,492 = 105,492/x
3. Step 3: Cross multiply
   49,242x = 105,492 × 105,492
4. Step 4: Simplify right side
   49,242x = 11,128,562,064
5. Step 5: Solve for x
   x = 11,128,562,064/49,242
6. Step 6: Final answer
   x = 225,997.36