Finding the Third Proportional to 226,720 and 493,184

Step by Step Solution

1. Step 1: Write the proportion equation
   226,720 : 493,184 = 493,184 : x
2. Step 2: Convert to fraction form
   226,720/493,184 = 493,184/x
3. Step 3: Cross multiply
   226,720x = 493,184 × 493,184
4. Step 4: Simplify right side
   226,720x = 243,230,457,856
5. Step 5: Solve for x
   x = 243,230,457,856/226,720
6. Step 6: Final answer
   x = 1,072,823.12