Finding the Third Proportional to 23,180 and 48,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,180 : 48,923.50 = 48,923.50 : x
2. Step 2: Convert to fraction form
   23,180/48,923.50 = 48,923.50/x
3. Step 3: Cross multiply
   23,180x = 48,923.50 × 48,923.50
4. Step 4: Simplify right side
   23,180x = 2,393,508,852.25
5. Step 5: Solve for x
   x = 2,393,508,852.25/23,180
6. Step 6: Final answer
   x = 103,257.50