Finding the Third Proportional to 109,282 and 164,927

Step by Step Solution

1. Step 1: Write the proportion equation
   109,282 : 164,927 = 164,927 : x
2. Step 2: Convert to fraction form
   109,282/164,927 = 164,927/x
3. Step 3: Cross multiply
   109,282x = 164,927 × 164,927
4. Step 4: Simplify right side
   109,282x = 27,200,915,329
5. Step 5: Solve for x
   x = 27,200,915,329/109,282
6. Step 6: Final answer
   x = 248,905.72