Finding the Third Proportional to 49,787 and 105,403

Step by Step Solution

1. Step 1: Write the proportion equation
   49,787 : 105,403 = 105,403 : x
2. Step 2: Convert to fraction form
   49,787/105,403 = 105,403/x
3. Step 3: Cross multiply
   49,787x = 105,403 × 105,403
4. Step 4: Simplify right side
   49,787x = 11,109,792,409
5. Step 5: Solve for x
   x = 11,109,792,409/49,787
6. Step 6: Final answer
   x = 223,146.45