Finding the Third Proportional to 102,126 and 224,410

Step by Step Solution

1. Step 1: Write the proportion equation
   102,126 : 224,410 = 224,410 : x
2. Step 2: Convert to fraction form
   102,126/224,410 = 224,410/x
3. Step 3: Cross multiply
   102,126x = 224,410 × 224,410
4. Step 4: Simplify right side
   102,126x = 50,359,848,100
5. Step 5: Solve for x
   x = 50,359,848,100/102,126
6. Step 6: Final answer
   x = 493,114.86