Finding the Third Proportional to 54,282 and 117,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,282 : 117,856.50 = 117,856.50 : x
2. Step 2: Convert to fraction form
   54,282/117,856.50 = 117,856.50/x
3. Step 3: Cross multiply
   54,282x = 117,856.50 × 117,856.50
4. Step 4: Simplify right side
   54,282x = 13,890,154,592.25
5. Step 5: Solve for x
   x = 13,890,154,592.25/54,282
6. Step 6: Final answer
   x = 255,888.78