Finding the Third Proportional to 224,770 and 478,146

Step by Step Solution

1. Step 1: Write the proportion equation
   224,770 : 478,146 = 478,146 : x
2. Step 2: Convert to fraction form
   224,770/478,146 = 478,146/x
3. Step 3: Cross multiply
   224,770x = 478,146 × 478,146
4. Step 4: Simplify right side
   224,770x = 228,623,597,316
5. Step 5: Solve for x
   x = 228,623,597,316/224,770
6. Step 6: Final answer
   x = 1,017,144.62