Finding the Third Proportional to 77,901.75 and 111,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,901.75 : 111,391.50 = 111,391.50 : x
2. Step 2: Convert to fraction form
   77,901.75/111,391.50 = 111,391.50/x
3. Step 3: Cross multiply
   77,901.75x = 111,391.50 × 111,391.50
4. Step 4: Simplify right side
   77,901.75x = 12,408,066,272.25
5. Step 5: Solve for x
   x = 12,408,066,272.25/77,901.75
6. Step 6: Final answer
   x = 159,278.40