Finding the Third Proportional to 227,754 and 498,414

Step by Step Solution

1. Step 1: Write the proportion equation
   227,754 : 498,414 = 498,414 : x
2. Step 2: Convert to fraction form
   227,754/498,414 = 498,414/x
3. Step 3: Cross multiply
   227,754x = 498,414 × 498,414
4. Step 4: Simplify right side
   227,754x = 248,416,515,396
5. Step 5: Solve for x
   x = 248,416,515,396/227,754
6. Step 6: Final answer
   x = 1,090,722.95