Finding the Third Proportional to 49,329 and 105,225.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,329 : 105,225.75 = 105,225.75 : x
2. Step 2: Convert to fraction form
   49,329/105,225.75 = 105,225.75/x
3. Step 3: Cross multiply
   49,329x = 105,225.75 × 105,225.75
4. Step 4: Simplify right side
   49,329x = 11,072,458,463.06
5. Step 5: Solve for x
   x = 11,072,458,463.06/49,329
6. Step 6: Final answer
   x = 224,461.44