Finding the Third Proportional to 49,224 and 105,447

Step by Step Solution

1. Step 1: Write the proportion equation
   49,224 : 105,447 = 105,447 : x
2. Step 2: Convert to fraction form
   49,224/105,447 = 105,447/x
3. Step 3: Cross multiply
   49,224x = 105,447 × 105,447
4. Step 4: Simplify right side
   49,224x = 11,119,069,809
5. Step 5: Solve for x
   x = 11,119,069,809/49,224
6. Step 6: Final answer
   x = 225,887.16