Finding the Third Proportional to 49,770 and 105,371

Step by Step Solution

1. Step 1: Write the proportion equation
   49,770 : 105,371 = 105,371 : x
2. Step 2: Convert to fraction form
   49,770/105,371 = 105,371/x
3. Step 3: Cross multiply
   49,770x = 105,371 × 105,371
4. Step 4: Simplify right side
   49,770x = 11,103,047,641
5. Step 5: Solve for x
   x = 11,103,047,641/49,770
6. Step 6: Final answer
   x = 223,087.15