Finding the Third Proportional to 54,546 and 80,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,546 : 80,020.50 = 80,020.50 : x
2. Step 2: Convert to fraction form
   54,546/80,020.50 = 80,020.50/x
3. Step 3: Cross multiply
   54,546x = 80,020.50 × 80,020.50
4. Step 4: Simplify right side
   54,546x = 6,403,280,420.25
5. Step 5: Solve for x
   x = 6,403,280,420.25/54,546
6. Step 6: Final answer
   x = 117,392.30