Finding the Third Proportional to 160,466 and 342,404

Step by Step Solution

1. Step 1: Write the proportion equation
   160,466 : 342,404 = 342,404 : x
2. Step 2: Convert to fraction form
   160,466/342,404 = 342,404/x
3. Step 3: Cross multiply
   160,466x = 342,404 × 342,404
4. Step 4: Simplify right side
   160,466x = 117,240,499,216
5. Step 5: Solve for x
   x = 117,240,499,216/160,466
6. Step 6: Final answer
   x = 730,625.17