Finding the Third Proportional to 78,444 and 169,992

Step by Step Solution

1. Step 1: Write the proportion equation
   78,444 : 169,992 = 169,992 : x
2. Step 2: Convert to fraction form
   78,444/169,992 = 169,992/x
3. Step 3: Cross multiply
   78,444x = 169,992 × 169,992
4. Step 4: Simplify right side
   78,444x = 28,897,280,064
5. Step 5: Solve for x
   x = 28,897,280,064/78,444
6. Step 6: Final answer
   x = 368,381.01