Finding the Third Proportional to 224,582 and 480,278

Step by Step Solution

1. Step 1: Write the proportion equation
   224,582 : 480,278 = 480,278 : x
2. Step 2: Convert to fraction form
   224,582/480,278 = 480,278/x
3. Step 3: Cross multiply
   224,582x = 480,278 × 480,278
4. Step 4: Simplify right side
   224,582x = 230,666,957,284
5. Step 5: Solve for x
   x = 230,666,957,284/224,582
6. Step 6: Final answer
   x = 1,027,094.59