Finding the Third Proportional to 225,996 and 306,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,996 : 306,583.50 = 306,583.50 : x
2. Step 2: Convert to fraction form
   225,996/306,583.50 = 306,583.50/x
3. Step 3: Cross multiply
   225,996x = 306,583.50 × 306,583.50
4. Step 4: Simplify right side
   225,996x = 93,993,442,472.25
5. Step 5: Solve for x
   x = 93,993,442,472.25/225,996
6. Step 6: Final answer
   x = 415,907.55