Finding the Third Proportional to 77,954 and 111,456.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,954 : 111,456.75 = 111,456.75 : x
2. Step 2: Convert to fraction form
   77,954/111,456.75 = 111,456.75/x
3. Step 3: Cross multiply
   77,954x = 111,456.75 × 111,456.75
4. Step 4: Simplify right side
   77,954x = 12,422,607,120.56
5. Step 5: Solve for x
   x = 12,422,607,120.56/77,954
6. Step 6: Final answer
   x = 159,358.17