Finding the Third Proportional to 49,069.50 and 105,909

Step by Step Solution

1. Step 1: Write the proportion equation
   49,069.50 : 105,909 = 105,909 : x
2. Step 2: Convert to fraction form
   49,069.50/105,909 = 105,909/x
3. Step 3: Cross multiply
   49,069.50x = 105,909 × 105,909
4. Step 4: Simplify right side
   49,069.50x = 11,216,716,281
5. Step 5: Solve for x
   x = 11,216,716,281/49,069.50
6. Step 6: Final answer
   x = 228,588.35