Finding the Third Proportional to 226,380 and 478,964

Step by Step Solution

1. Step 1: Write the proportion equation
   226,380 : 478,964 = 478,964 : x
2. Step 2: Convert to fraction form
   226,380/478,964 = 478,964/x
3. Step 3: Cross multiply
   226,380x = 478,964 × 478,964
4. Step 4: Simplify right side
   226,380x = 229,406,513,296
5. Step 5: Solve for x
   x = 229,406,513,296/226,380
6. Step 6: Final answer
   x = 1,013,369.17