Finding the Third Proportional to 102,306 and 224,915.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,306 : 224,915.25 = 224,915.25 : x
2. Step 2: Convert to fraction form
   102,306/224,915.25 = 224,915.25/x
3. Step 3: Cross multiply
   102,306x = 224,915.25 × 224,915.25
4. Step 4: Simplify right side
   102,306x = 50,586,869,682.56
5. Step 5: Solve for x
   x = 50,586,869,682.56/102,306
6. Step 6: Final answer
   x = 494,466.30