Finding the Third Proportional to 102,401 and 224,484

Step by Step Solution

1. Step 1: Write the proportion equation
   102,401 : 224,484 = 224,484 : x
2. Step 2: Convert to fraction form
   102,401/224,484 = 224,484/x
3. Step 3: Cross multiply
   102,401x = 224,484 × 224,484
4. Step 4: Simplify right side
   102,401x = 50,393,066,256
5. Step 5: Solve for x
   x = 50,393,066,256/102,401
6. Step 6: Final answer
   x = 492,114.98