Finding the Third Proportional to 227,784 and 498,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,784 : 498,466.50 = 498,466.50 : x
2. Step 2: Convert to fraction form
   227,784/498,466.50 = 498,466.50/x
3. Step 3: Cross multiply
   227,784x = 498,466.50 × 498,466.50
4. Step 4: Simplify right side
   227,784x = 248,468,851,622.25
5. Step 5: Solve for x
   x = 248,468,851,622.25/227,784
6. Step 6: Final answer
   x = 1,090,809.06