Finding the Third Proportional to 224,468 and 480,464

Step by Step Solution

1. Step 1: Write the proportion equation
   224,468 : 480,464 = 480,464 : x
2. Step 2: Convert to fraction form
   224,468/480,464 = 480,464/x
3. Step 3: Cross multiply
   224,468x = 480,464 × 480,464
4. Step 4: Simplify right side
   224,468x = 230,845,655,296
5. Step 5: Solve for x
   x = 230,845,655,296/224,468
6. Step 6: Final answer
   x = 1,028,412.31