Finding the Third Proportional to 109,236 and 164,624

Step by Step Solution

1. Step 1: Write the proportion equation
   109,236 : 164,624 = 164,624 : x
2. Step 2: Convert to fraction form
   109,236/164,624 = 164,624/x
3. Step 3: Cross multiply
   109,236x = 164,624 × 164,624
4. Step 4: Simplify right side
   109,236x = 27,101,061,376
5. Step 5: Solve for x
   x = 27,101,061,376/109,236
6. Step 6: Final answer
   x = 248,096.43