Finding the Third Proportional to 109,736 and 164,549

Step by Step Solution

1. Step 1: Write the proportion equation
   109,736 : 164,549 = 164,549 : x
2. Step 2: Convert to fraction form
   109,736/164,549 = 164,549/x
3. Step 3: Cross multiply
   109,736x = 164,549 × 164,549
4. Step 4: Simplify right side
   109,736x = 27,076,373,401
5. Step 5: Solve for x
   x = 27,076,373,401/109,736
6. Step 6: Final answer
   x = 246,741.03