Finding the Third Proportional to 109,286 and 164,695

Step by Step Solution

1. Step 1: Write the proportion equation
   109,286 : 164,695 = 164,695 : x
2. Step 2: Convert to fraction form
   109,286/164,695 = 164,695/x
3. Step 3: Cross multiply
   109,286x = 164,695 × 164,695
4. Step 4: Simplify right side
   109,286x = 27,124,443,025
5. Step 5: Solve for x
   x = 27,124,443,025/109,286
6. Step 6: Final answer
   x = 248,196.87