Finding the Third Proportional to 224,978 and 475,254

Step by Step Solution

1. Step 1: Write the proportion equation
   224,978 : 475,254 = 475,254 : x
2. Step 2: Convert to fraction form
   224,978/475,254 = 475,254/x
3. Step 3: Cross multiply
   224,978x = 475,254 × 475,254
4. Step 4: Simplify right side
   224,978x = 225,866,364,516
5. Step 5: Solve for x
   x = 225,866,364,516/224,978
6. Step 6: Final answer
   x = 1,003,948.67