Finding the Third Proportional to 54,012 and 114,140

Step by Step Solution

1. Step 1: Write the proportion equation
   54,012 : 114,140 = 114,140 : x
2. Step 2: Convert to fraction form
   54,012/114,140 = 114,140/x
3. Step 3: Cross multiply
   54,012x = 114,140 × 114,140
4. Step 4: Simplify right side
   54,012x = 13,027,939,600
5. Step 5: Solve for x
   x = 13,027,939,600/54,012
6. Step 6: Final answer
   x = 241,204.54