Finding the Third Proportional to 51,174 and 109,143

Step by Step Solution

1. Step 1: Write the proportion equation
   51,174 : 109,143 = 109,143 : x
2. Step 2: Convert to fraction form
   51,174/109,143 = 109,143/x
3. Step 3: Cross multiply
   51,174x = 109,143 × 109,143
4. Step 4: Simplify right side
   51,174x = 11,912,194,449
5. Step 5: Solve for x
   x = 11,912,194,449/51,174
6. Step 6: Final answer
   x = 232,778.26