Finding the Third Proportional to 105,041 and 157,188

Step by Step Solution

1. Step 1: Write the proportion equation
   105,041 : 157,188 = 157,188 : x
2. Step 2: Convert to fraction form
   105,041/157,188 = 157,188/x
3. Step 3: Cross multiply
   105,041x = 157,188 × 157,188
4. Step 4: Simplify right side
   105,041x = 24,708,067,344
5. Step 5: Solve for x
   x = 24,708,067,344/105,041
6. Step 6: Final answer
   x = 235,223.08