Finding the Third Proportional to 102,885 and 224,622.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,885 : 224,622.75 = 224,622.75 : x
2. Step 2: Convert to fraction form
   102,885/224,622.75 = 224,622.75/x
3. Step 3: Cross multiply
   102,885x = 224,622.75 × 224,622.75
4. Step 4: Simplify right side
   102,885x = 50,455,379,817.56
5. Step 5: Solve for x
   x = 50,455,379,817.56/102,885
6. Step 6: Final answer
   x = 490,405.60