Finding the Third Proportional to 53,401 and 113,705

Step by Step Solution

1. Step 1: Write the proportion equation
   53,401 : 113,705 = 113,705 : x
2. Step 2: Convert to fraction form
   53,401/113,705 = 113,705/x
3. Step 3: Cross multiply
   53,401x = 113,705 × 113,705
4. Step 4: Simplify right side
   53,401x = 12,928,827,025
5. Step 5: Solve for x
   x = 12,928,827,025/53,401
6. Step 6: Final answer
   x = 242,108.33