Finding the Third Proportional to 102,624 and 224,064

Step by Step Solution

1. Step 1: Write the proportion equation
   102,624 : 224,064 = 224,064 : x
2. Step 2: Convert to fraction form
   102,624/224,064 = 224,064/x
3. Step 3: Cross multiply
   102,624x = 224,064 × 224,064
4. Step 4: Simplify right side
   102,624x = 50,204,676,096
5. Step 5: Solve for x
   x = 50,204,676,096/102,624
6. Step 6: Final answer
   x = 489,209.89