Finding the Third Proportional to 53,142 and 109,740

Step by Step Solution

1. Step 1: Write the proportion equation
   53,142 : 109,740 = 109,740 : x
2. Step 2: Convert to fraction form
   53,142/109,740 = 109,740/x
3. Step 3: Cross multiply
   53,142x = 109,740 × 109,740
4. Step 4: Simplify right side
   53,142x = 12,042,867,600
5. Step 5: Solve for x
   x = 12,042,867,600/53,142
6. Step 6: Final answer
   x = 226,616.76