Finding the Third Proportional to 102,144 and 224,412

Step by Step Solution

1. Step 1: Write the proportion equation
   102,144 : 224,412 = 224,412 : x
2. Step 2: Convert to fraction form
   102,144/224,412 = 224,412/x
3. Step 3: Cross multiply
   102,144x = 224,412 × 224,412
4. Step 4: Simplify right side
   102,144x = 50,360,745,744
5. Step 5: Solve for x
   x = 50,360,745,744/102,144
6. Step 6: Final answer
   x = 493,036.75