Finding the Third Proportional to 109,386 and 171,360

Step by Step Solution

1. Step 1: Write the proportion equation
   109,386 : 171,360 = 171,360 : x
2. Step 2: Convert to fraction form
   109,386/171,360 = 171,360/x
3. Step 3: Cross multiply
   109,386x = 171,360 × 171,360
4. Step 4: Simplify right side
   109,386x = 29,364,249,600
5. Step 5: Solve for x
   x = 29,364,249,600/109,386
6. Step 6: Final answer
   x = 268,446.14