Finding the Third Proportional to 105,268 and 157,404

Step by Step Solution

1. Step 1: Write the proportion equation
   105,268 : 157,404 = 157,404 : x
2. Step 2: Convert to fraction form
   105,268/157,404 = 157,404/x
3. Step 3: Cross multiply
   105,268x = 157,404 × 157,404
4. Step 4: Simplify right side
   105,268x = 24,776,019,216
5. Step 5: Solve for x
   x = 24,776,019,216/105,268
6. Step 6: Final answer
   x = 235,361.36