Finding the Third Proportional to 49,146.75 and 105,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,146.75 : 105,583.50 = 105,583.50 : x
2. Step 2: Convert to fraction form
   49,146.75/105,583.50 = 105,583.50/x
3. Step 3: Cross multiply
   49,146.75x = 105,583.50 × 105,583.50
4. Step 4: Simplify right side
   49,146.75x = 11,147,875,472.25
5. Step 5: Solve for x
   x = 11,147,875,472.25/49,146.75
6. Step 6: Final answer
   x = 226,828.33