Finding the Third Proportional to 102,121.88 and 224,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,121.88 : 224,401.50 = 224,401.50 : x
2. Step 2: Convert to fraction form
   102,121.88/224,401.50 = 224,401.50/x
3. Step 3: Cross multiply
   102,121.88x = 224,401.50 × 224,401.50
4. Step 4: Simplify right side
   102,121.88x = 50,356,033,202.25
5. Step 5: Solve for x
   x = 50,356,033,202.25/102,121.88
6. Step 6: Final answer
   x = 493,097.42