Finding the Third Proportional to 78,924 and 167,640

Step by Step Solution

1. Step 1: Write the proportion equation
   78,924 : 167,640 = 167,640 : x
2. Step 2: Convert to fraction form
   78,924/167,640 = 167,640/x
3. Step 3: Cross multiply
   78,924x = 167,640 × 167,640
4. Step 4: Simplify right side
   78,924x = 28,103,169,600
5. Step 5: Solve for x
   x = 28,103,169,600/78,924
6. Step 6: Final answer
   x = 356,078.88