Finding the Third Proportional to 224,768 and 478,142

Step by Step Solution

1. Step 1: Write the proportion equation
   224,768 : 478,142 = 478,142 : x
2. Step 2: Convert to fraction form
   224,768/478,142 = 478,142/x
3. Step 3: Cross multiply
   224,768x = 478,142 × 478,142
4. Step 4: Simplify right side
   224,768x = 228,619,772,164
5. Step 5: Solve for x
   x = 228,619,772,164/224,768
6. Step 6: Final answer
   x = 1,017,136.66