Finding the Third Proportional to 109,619 and 164,429

Step by Step Solution

1. Step 1: Write the proportion equation
   109,619 : 164,429 = 164,429 : x
2. Step 2: Convert to fraction form
   109,619/164,429 = 164,429/x
3. Step 3: Cross multiply
   109,619x = 164,429 × 164,429
4. Step 4: Simplify right side
   109,619x = 27,036,896,041
5. Step 5: Solve for x
   x = 27,036,896,041/109,619
6. Step 6: Final answer
   x = 246,644.25