Finding the Third Proportional to 78,890 and 171,604

Step by Step Solution

1. Step 1: Write the proportion equation
   78,890 : 171,604 = 171,604 : x
2. Step 2: Convert to fraction form
   78,890/171,604 = 171,604/x
3. Step 3: Cross multiply
   78,890x = 171,604 × 171,604
4. Step 4: Simplify right side
   78,890x = 29,447,932,816
5. Step 5: Solve for x
   x = 29,447,932,816/78,890
6. Step 6: Final answer
   x = 373,278.40