Finding the Third Proportional to 49,819.50 and 105,264

Step by Step Solution

1. Step 1: Write the proportion equation
   49,819.50 : 105,264 = 105,264 : x
2. Step 2: Convert to fraction form
   49,819.50/105,264 = 105,264/x
3. Step 3: Cross multiply
   49,819.50x = 105,264 × 105,264
4. Step 4: Simplify right side
   49,819.50x = 11,080,509,696
5. Step 5: Solve for x
   x = 11,080,509,696/49,819.50
6. Step 6: Final answer
   x = 222,413.11