Finding the Third Proportional to 109,609 and 164,428

Step by Step Solution

1. Step 1: Write the proportion equation
   109,609 : 164,428 = 164,428 : x
2. Step 2: Convert to fraction form
   109,609/164,428 = 164,428/x
3. Step 3: Cross multiply
   109,609x = 164,428 × 164,428
4. Step 4: Simplify right side
   109,609x = 27,036,567,184
5. Step 5: Solve for x
   x = 27,036,567,184/109,609
6. Step 6: Final answer
   x = 246,663.75