Finding the Third Proportional to 227,920 and 498,784

Step by Step Solution

1. Step 1: Write the proportion equation
   227,920 : 498,784 = 498,784 : x
2. Step 2: Convert to fraction form
   227,920/498,784 = 498,784/x
3. Step 3: Cross multiply
   227,920x = 498,784 × 498,784
4. Step 4: Simplify right side
   227,920x = 248,785,478,656
5. Step 5: Solve for x
   x = 248,785,478,656/227,920
6. Step 6: Final answer
   x = 1,091,547.38