Finding the Third Proportional to 49,222 and 105,437

Step by Step Solution

1. Step 1: Write the proportion equation
   49,222 : 105,437 = 105,437 : x
2. Step 2: Convert to fraction form
   49,222/105,437 = 105,437/x
3. Step 3: Cross multiply
   49,222x = 105,437 × 105,437
4. Step 4: Simplify right side
   49,222x = 11,116,960,969
5. Step 5: Solve for x
   x = 11,116,960,969/49,222
6. Step 6: Final answer
   x = 225,853.50