Finding the Third Proportional to 109,276 and 164,684

Step by Step Solution

1. Step 1: Write the proportion equation
   109,276 : 164,684 = 164,684 : x
2. Step 2: Convert to fraction form
   109,276/164,684 = 164,684/x
3. Step 3: Cross multiply
   109,276x = 164,684 × 164,684
4. Step 4: Simplify right side
   109,276x = 27,120,819,856
5. Step 5: Solve for x
   x = 27,120,819,856/109,276
6. Step 6: Final answer
   x = 248,186.43