Finding the Third Proportional to 49,378.50 and 75,282.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,378.50 : 75,282.75 = 75,282.75 : x
2. Step 2: Convert to fraction form
   49,378.50/75,282.75 = 75,282.75/x
3. Step 3: Cross multiply
   49,378.50x = 75,282.75 × 75,282.75
4. Step 4: Simplify right side
   49,378.50x = 5,667,492,447.56
5. Step 5: Solve for x
   x = 5,667,492,447.56/49,378.50
6. Step 6: Final answer
   x = 114,776.52