Finding the Third Proportional to 226,808 and 493,024

Step by Step Solution

1. Step 1: Write the proportion equation
   226,808 : 493,024 = 493,024 : x
2. Step 2: Convert to fraction form
   226,808/493,024 = 493,024/x
3. Step 3: Cross multiply
   226,808x = 493,024 × 493,024
4. Step 4: Simplify right side
   226,808x = 243,072,664,576
5. Step 5: Solve for x
   x = 243,072,664,576/226,808
6. Step 6: Final answer
   x = 1,071,711.16