Finding the Third Proportional to 225,146 and 475,624

Step by Step Solution

1. Step 1: Write the proportion equation
   225,146 : 475,624 = 475,624 : x
2. Step 2: Convert to fraction form
   225,146/475,624 = 475,624/x
3. Step 3: Cross multiply
   225,146x = 475,624 × 475,624
4. Step 4: Simplify right side
   225,146x = 226,218,189,376
5. Step 5: Solve for x
   x = 226,218,189,376/225,146
6. Step 6: Final answer
   x = 1,004,762.20