Finding the Third Proportional to 83,280 and 179,853

Step by Step Solution

1. Step 1: Write the proportion equation
   83,280 : 179,853 = 179,853 : x
2. Step 2: Convert to fraction form
   83,280/179,853 = 179,853/x
3. Step 3: Cross multiply
   83,280x = 179,853 × 179,853
4. Step 4: Simplify right side
   83,280x = 32,347,101,609
5. Step 5: Solve for x
   x = 32,347,101,609/83,280
6. Step 6: Final answer
   x = 388,413.80