Finding the Third Proportional to 77,736 and 120,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,736 : 120,040.50 = 120,040.50 : x
2. Step 2: Convert to fraction form
   77,736/120,040.50 = 120,040.50/x
3. Step 3: Cross multiply
   77,736x = 120,040.50 × 120,040.50
4. Step 4: Simplify right side
   77,736x = 14,409,721,640.25
5. Step 5: Solve for x
   x = 14,409,721,640.25/77,736
6. Step 6: Final answer
   x = 185,367.42