Finding the Third Proportional to 109,911 and 171,429

Step by Step Solution

1. Step 1: Write the proportion equation
   109,911 : 171,429 = 171,429 : x
2. Step 2: Convert to fraction form
   109,911/171,429 = 171,429/x
3. Step 3: Cross multiply
   109,911x = 171,429 × 171,429
4. Step 4: Simplify right side
   109,911x = 29,387,902,041
5. Step 5: Solve for x
   x = 29,387,902,041/109,911
6. Step 6: Final answer
   x = 267,379.08