Finding the Third Proportional to 49,557 and 75,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,557 : 75,280.50 = 75,280.50 : x
2. Step 2: Convert to fraction form
   49,557/75,280.50 = 75,280.50/x
3. Step 3: Cross multiply
   49,557x = 75,280.50 × 75,280.50
4. Step 4: Simplify right side
   49,557x = 5,667,153,680.25
5. Step 5: Solve for x
   x = 5,667,153,680.25/49,557
6. Step 6: Final answer
   x = 114,356.27