Finding the Third Proportional to 225,534 and 490,414

Step by Step Solution

1. Step 1: Write the proportion equation
   225,534 : 490,414 = 490,414 : x
2. Step 2: Convert to fraction form
   225,534/490,414 = 490,414/x
3. Step 3: Cross multiply
   225,534x = 490,414 × 490,414
4. Step 4: Simplify right side
   225,534x = 240,505,891,396
5. Step 5: Solve for x
   x = 240,505,891,396/225,534
6. Step 6: Final answer
   x = 1,066,384.19