Finding the Third Proportional to 54,189 and 80,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,189 : 80,815.50 = 80,815.50 : x
2. Step 2: Convert to fraction form
   54,189/80,815.50 = 80,815.50/x
3. Step 3: Cross multiply
   54,189x = 80,815.50 × 80,815.50
4. Step 4: Simplify right side
   54,189x = 6,531,145,040.25
5. Step 5: Solve for x
   x = 6,531,145,040.25/54,189
6. Step 6: Final answer
   x = 120,525.29