Finding the Third Proportional to 109,741 and 164,143

Step by Step Solution

1. Step 1: Write the proportion equation
   109,741 : 164,143 = 164,143 : x
2. Step 2: Convert to fraction form
   109,741/164,143 = 164,143/x
3. Step 3: Cross multiply
   109,741x = 164,143 × 164,143
4. Step 4: Simplify right side
   109,741x = 26,942,924,449
5. Step 5: Solve for x
   x = 26,942,924,449/109,741
6. Step 6: Final answer
   x = 245,513.75