Finding the Third Proportional to 109,426 and 164,254

Step by Step Solution

1. Step 1: Write the proportion equation
   109,426 : 164,254 = 164,254 : x
2. Step 2: Convert to fraction form
   109,426/164,254 = 164,254/x
3. Step 3: Cross multiply
   109,426x = 164,254 × 164,254
4. Step 4: Simplify right side
   109,426x = 26,979,376,516
5. Step 5: Solve for x
   x = 26,979,376,516/109,426
6. Step 6: Final answer
   x = 246,553.62