Finding the Third Proportional to 105,941 and 157,078.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,941 : 157,078.75 = 157,078.75 : x
2. Step 2: Convert to fraction form
   105,941/157,078.75 = 157,078.75/x
3. Step 3: Cross multiply
   105,941x = 157,078.75 × 157,078.75
4. Step 4: Simplify right side
   105,941x = 24,673,733,701.56
5. Step 5: Solve for x
   x = 24,673,733,701.56/105,941
6. Step 6: Final answer
   x = 232,900.71