Finding the Third Proportional to 103,741 and 164,684

Step by Step Solution

1. Step 1: Write the proportion equation
   103,741 : 164,684 = 164,684 : x
2. Step 2: Convert to fraction form
   103,741/164,684 = 164,684/x
3. Step 3: Cross multiply
   103,741x = 164,684 × 164,684
4. Step 4: Simplify right side
   103,741x = 27,120,819,856
5. Step 5: Solve for x
   x = 27,120,819,856/103,741
6. Step 6: Final answer
   x = 261,428.17