Finding the Third Proportional to 77,419.50 and 113,141.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,419.50 : 113,141.25 = 113,141.25 : x
2. Step 2: Convert to fraction form
   77,419.50/113,141.25 = 113,141.25/x
3. Step 3: Cross multiply
   77,419.50x = 113,141.25 × 113,141.25
4. Step 4: Simplify right side
   77,419.50x = 12,800,942,451.56
5. Step 5: Solve for x
   x = 12,800,942,451.56/77,419.50
6. Step 6: Final answer
   x = 165,345.20