Finding the Third Proportional to 102,500 and 224,740

Step by Step Solution

1. Step 1: Write the proportion equation
   102,500 : 224,740 = 224,740 : x
2. Step 2: Convert to fraction form
   102,500/224,740 = 224,740/x
3. Step 3: Cross multiply
   102,500x = 224,740 × 224,740
4. Step 4: Simplify right side
   102,500x = 50,508,067,600
5. Step 5: Solve for x
   x = 50,508,067,600/102,500
6. Step 6: Final answer
   x = 492,761.64