Finding the Third Proportional to 49,261.50 and 105,914.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,261.50 : 105,914.25 = 105,914.25 : x
2. Step 2: Convert to fraction form
   49,261.50/105,914.25 = 105,914.25/x
3. Step 3: Cross multiply
   49,261.50x = 105,914.25 × 105,914.25
4. Step 4: Simplify right side
   49,261.50x = 11,217,828,353.06
5. Step 5: Solve for x
   x = 11,217,828,353.06/49,261.50
6. Step 6: Final answer
   x = 227,719.99