Finding the Third Proportional to 46,678 and 102,426

Step by Step Solution

1. Step 1: Write the proportion equation
   46,678 : 102,426 = 102,426 : x
2. Step 2: Convert to fraction form
   46,678/102,426 = 102,426/x
3. Step 3: Cross multiply
   46,678x = 102,426 × 102,426
4. Step 4: Simplify right side
   46,678x = 10,491,085,476
5. Step 5: Solve for x
   x = 10,491,085,476/46,678
6. Step 6: Final answer
   x = 224,754.39