Finding the Third Proportional to 49,693.50 and 106,084.69

Step by Step Solution

1. Step 1: Write the proportion equation
   49,693.50 : 106,084.69 = 106,084.69 : x
2. Step 2: Convert to fraction form
   49,693.50/106,084.69 = 106,084.69/x
3. Step 3: Cross multiply
   49,693.50x = 106,084.69 × 106,084.69
4. Step 4: Simplify right side
   49,693.50x = 11,253,960,921.97
5. Step 5: Solve for x
   x = 11,253,960,921.97/49,693.50
6. Step 6: Final answer
   x = 226,467.46