Finding the Third Proportional to 105,910 and 156,401

Step by Step Solution

1. Step 1: Write the proportion equation
   105,910 : 156,401 = 156,401 : x
2. Step 2: Convert to fraction form
   105,910/156,401 = 156,401/x
3. Step 3: Cross multiply
   105,910x = 156,401 × 156,401
4. Step 4: Simplify right side
   105,910x = 24,461,272,801
5. Step 5: Solve for x
   x = 24,461,272,801/105,910
6. Step 6: Final answer
   x = 230,962.83