Finding the Third Proportional to 46,667 and 72,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,667 : 72,378.50 = 72,378.50 : x
2. Step 2: Convert to fraction form
   46,667/72,378.50 = 72,378.50/x
3. Step 3: Cross multiply
   46,667x = 72,378.50 × 72,378.50
4. Step 4: Simplify right side
   46,667x = 5,238,647,262.25
5. Step 5: Solve for x
   x = 5,238,647,262.25/46,667
6. Step 6: Final answer
   x = 112,255.93