Finding the Third Proportional to 49,355 and 75,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,355 : 75,259.50 = 75,259.50 : x
2. Step 2: Convert to fraction form
   49,355/75,259.50 = 75,259.50/x
3. Step 3: Cross multiply
   49,355x = 75,259.50 × 75,259.50
4. Step 4: Simplify right side
   49,355x = 5,663,992,340.25
5. Step 5: Solve for x
   x = 5,663,992,340.25/49,355
6. Step 6: Final answer
   x = 114,760.25