Finding the Third Proportional to 51,142 and 109,391

Step by Step Solution

1. Step 1: Write the proportion equation
   51,142 : 109,391 = 109,391 : x
2. Step 2: Convert to fraction form
   51,142/109,391 = 109,391/x
3. Step 3: Cross multiply
   51,142x = 109,391 × 109,391
4. Step 4: Simplify right side
   51,142x = 11,966,390,881
5. Step 5: Solve for x
   x = 11,966,390,881/51,142
6. Step 6: Final answer
   x = 233,983.63