Finding the Third Proportional to 49,217 and 105,433

Step by Step Solution

1. Step 1: Write the proportion equation
   49,217 : 105,433 = 105,433 : x
2. Step 2: Convert to fraction form
   49,217/105,433 = 105,433/x
3. Step 3: Cross multiply
   49,217x = 105,433 × 105,433
4. Step 4: Simplify right side
   49,217x = 11,116,117,489
5. Step 5: Solve for x
   x = 11,116,117,489/49,217
6. Step 6: Final answer
   x = 225,859.31