Finding the Third Proportional to 109,364 and 171,334

Step by Step Solution

1. Step 1: Write the proportion equation
   109,364 : 171,334 = 171,334 : x
2. Step 2: Convert to fraction form
   109,364/171,334 = 171,334/x
3. Step 3: Cross multiply
   109,364x = 171,334 × 171,334
4. Step 4: Simplify right side
   109,364x = 29,355,339,556
5. Step 5: Solve for x
   x = 29,355,339,556/109,364
6. Step 6: Final answer
   x = 268,418.67