Finding the Third Proportional to 227,788 and 498,478

Step by Step Solution

1. Step 1: Write the proportion equation
   227,788 : 498,478 = 498,478 : x
2. Step 2: Convert to fraction form
   227,788/498,478 = 498,478/x
3. Step 3: Cross multiply
   227,788x = 498,478 × 498,478
4. Step 4: Simplify right side
   227,788x = 248,480,316,484
5. Step 5: Solve for x
   x = 248,480,316,484/227,788
6. Step 6: Final answer
   x = 1,090,840.24