Finding the Third Proportional to 54,847 and 114,005

Step by Step Solution

1. Step 1: Write the proportion equation
   54,847 : 114,005 = 114,005 : x
2. Step 2: Convert to fraction form
   54,847/114,005 = 114,005/x
3. Step 3: Cross multiply
   54,847x = 114,005 × 114,005
4. Step 4: Simplify right side
   54,847x = 12,997,140,025
5. Step 5: Solve for x
   x = 12,997,140,025/54,847
6. Step 6: Final answer
   x = 236,970.85