Finding the Third Proportional to 109,624 and 164,136

Step by Step Solution

1. Step 1: Write the proportion equation
   109,624 : 164,136 = 164,136 : x
2. Step 2: Convert to fraction form
   109,624/164,136 = 164,136/x
3. Step 3: Cross multiply
   109,624x = 164,136 × 164,136
4. Step 4: Simplify right side
   109,624x = 26,940,626,496
5. Step 5: Solve for x
   x = 26,940,626,496/109,624
6. Step 6: Final answer
   x = 245,754.82