Finding the Third Proportional to 109,420 and 171,426

Step by Step Solution

1. Step 1: Write the proportion equation
   109,420 : 171,426 = 171,426 : x
2. Step 2: Convert to fraction form
   109,420/171,426 = 171,426/x
3. Step 3: Cross multiply
   109,420x = 171,426 × 171,426
4. Step 4: Simplify right side
   109,420x = 29,386,873,476
5. Step 5: Solve for x
   x = 29,386,873,476/109,420
6. Step 6: Final answer
   x = 268,569.49