Finding the Third Proportional to 81,919.50 and 122,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,919.50 : 122,906.25 = 122,906.25 : x
2. Step 2: Convert to fraction form
   81,919.50/122,906.25 = 122,906.25/x
3. Step 3: Cross multiply
   81,919.50x = 122,906.25 × 122,906.25
4. Step 4: Simplify right side
   81,919.50x = 15,105,946,289.06
5. Step 5: Solve for x
   x = 15,105,946,289.06/81,919.50
6. Step 6: Final answer
   x = 184,399.88