Finding the Third Proportional to 63,417 and 137,401

Step by Step Solution

1. Step 1: Write the proportion equation
   63,417 : 137,401 = 137,401 : x
2. Step 2: Convert to fraction form
   63,417/137,401 = 137,401/x
3. Step 3: Cross multiply
   63,417x = 137,401 × 137,401
4. Step 4: Simplify right side
   63,417x = 18,879,034,801
5. Step 5: Solve for x
   x = 18,879,034,801/63,417
6. Step 6: Final answer
   x = 297,696.75