Finding the Third Proportional to 109,775.25 and 224,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,775.25 : 224,329.50 = 224,329.50 : x
2. Step 2: Convert to fraction form
   109,775.25/224,329.50 = 224,329.50/x
3. Step 3: Cross multiply
   109,775.25x = 224,329.50 × 224,329.50
4. Step 4: Simplify right side
   109,775.25x = 50,323,724,570.25
5. Step 5: Solve for x
   x = 50,323,724,570.25/109,775.25
6. Step 6: Final answer
   x = 458,425.05