Finding the Third Proportional to 78,418 and 160,292

Step by Step Solution

1. Step 1: Write the proportion equation
   78,418 : 160,292 = 160,292 : x
2. Step 2: Convert to fraction form
   78,418/160,292 = 160,292/x
3. Step 3: Cross multiply
   78,418x = 160,292 × 160,292
4. Step 4: Simplify right side
   78,418x = 25,693,525,264
5. Step 5: Solve for x
   x = 25,693,525,264/78,418
6. Step 6: Final answer
   x = 327,648.31