Finding the Third Proportional to 109,617 and 164,426

Step by Step Solution

1. Step 1: Write the proportion equation
   109,617 : 164,426 = 164,426 : x
2. Step 2: Convert to fraction form
   109,617/164,426 = 164,426/x
3. Step 3: Cross multiply
   109,617x = 164,426 × 164,426
4. Step 4: Simplify right side
   109,617x = 27,035,909,476
5. Step 5: Solve for x
   x = 27,035,909,476/109,617
6. Step 6: Final answer
   x = 246,639.75