Finding the Third Proportional to 49,097 and 105,708.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,097 : 105,708.50 = 105,708.50 : x
2. Step 2: Convert to fraction form
   49,097/105,708.50 = 105,708.50/x
3. Step 3: Cross multiply
   49,097x = 105,708.50 × 105,708.50
4. Step 4: Simplify right side
   49,097x = 11,174,286,972.25
5. Step 5: Solve for x
   x = 11,174,286,972.25/49,097
6. Step 6: Final answer
   x = 227,596.13