Finding the Third Proportional to 160,409 and 341,456

Step by Step Solution

1. Step 1: Write the proportion equation
   160,409 : 341,456 = 341,456 : x
2. Step 2: Convert to fraction form
   160,409/341,456 = 341,456/x
3. Step 3: Cross multiply
   160,409x = 341,456 × 341,456
4. Step 4: Simplify right side
   160,409x = 116,592,199,936
5. Step 5: Solve for x
   x = 116,592,199,936/160,409
6. Step 6: Final answer
   x = 726,843.26