Finding the Third Proportional to 46,685 and 102,441

Step by Step Solution

1. Step 1: Write the proportion equation
   46,685 : 102,441 = 102,441 : x
2. Step 2: Convert to fraction form
   46,685/102,441 = 102,441/x
3. Step 3: Cross multiply
   46,685x = 102,441 × 102,441
4. Step 4: Simplify right side
   46,685x = 10,494,158,481
5. Step 5: Solve for x
   x = 10,494,158,481/46,685
6. Step 6: Final answer
   x = 224,786.52