Finding the Third Proportional to 224,580 and 480,274

Step by Step Solution

1. Step 1: Write the proportion equation
   224,580 : 480,274 = 480,274 : x
2. Step 2: Convert to fraction form
   224,580/480,274 = 480,274/x
3. Step 3: Cross multiply
   224,580x = 480,274 × 480,274
4. Step 4: Simplify right side
   224,580x = 230,663,115,076
5. Step 5: Solve for x
   x = 230,663,115,076/224,580
6. Step 6: Final answer
   x = 1,027,086.63