Finding the Third Proportional to 49,776 and 105,168

Step by Step Solution

1. Step 1: Write the proportion equation
   49,776 : 105,168 = 105,168 : x
2. Step 2: Convert to fraction form
   49,776/105,168 = 105,168/x
3. Step 3: Cross multiply
   49,776x = 105,168 × 105,168
4. Step 4: Simplify right side
   49,776x = 11,060,308,224
5. Step 5: Solve for x
   x = 11,060,308,224/49,776
6. Step 6: Final answer
   x = 222,201.63