Finding the Third Proportional to 54,678 and 81,730.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,678 : 81,730.50 = 81,730.50 : x
2. Step 2: Convert to fraction form
   54,678/81,730.50 = 81,730.50/x
3. Step 3: Cross multiply
   54,678x = 81,730.50 × 81,730.50
4. Step 4: Simplify right side
   54,678x = 6,679,874,630.25
5. Step 5: Solve for x
   x = 6,679,874,630.25/54,678
6. Step 6: Final answer
   x = 122,167.50