Finding the Third Proportional to 49,059 and 105,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,059 : 105,889.50 = 105,889.50 : x
2. Step 2: Convert to fraction form
   49,059/105,889.50 = 105,889.50/x
3. Step 3: Cross multiply
   49,059x = 105,889.50 × 105,889.50
4. Step 4: Simplify right side
   49,059x = 11,212,586,210.25
5. Step 5: Solve for x
   x = 11,212,586,210.25/49,059
6. Step 6: Final answer
   x = 228,553.09