Finding the Third Proportional to 50,196.75 and 77,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,196.75 : 77,725.50 = 77,725.50 : x
2. Step 2: Convert to fraction form
   50,196.75/77,725.50 = 77,725.50/x
3. Step 3: Cross multiply
   50,196.75x = 77,725.50 × 77,725.50
4. Step 4: Simplify right side
   50,196.75x = 6,041,253,350.25
5. Step 5: Solve for x
   x = 6,041,253,350.25/50,196.75
6. Step 6: Final answer
   x = 120,351.48