Finding the Third Proportional to 105,916 and 157,049

Step by Step Solution

1. Step 1: Write the proportion equation
   105,916 : 157,049 = 157,049 : x
2. Step 2: Convert to fraction form
   105,916/157,049 = 157,049/x
3. Step 3: Cross multiply
   105,916x = 157,049 × 157,049
4. Step 4: Simplify right side
   105,916x = 24,664,388,401
5. Step 5: Solve for x
   x = 24,664,388,401/105,916
6. Step 6: Final answer
   x = 232,867.45