Finding the Third Proportional to 49,969 and 106,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,969 : 106,411.50 = 106,411.50 : x
2. Step 2: Convert to fraction form
   49,969/106,411.50 = 106,411.50/x
3. Step 3: Cross multiply
   49,969x = 106,411.50 × 106,411.50
4. Step 4: Simplify right side
   49,969x = 11,323,407,332.25
5. Step 5: Solve for x
   x = 11,323,407,332.25/49,969
6. Step 6: Final answer
   x = 226,608.64