Finding the Third Proportional to 78,020 and 167,890

Step by Step Solution

1. Step 1: Write the proportion equation
   78,020 : 167,890 = 167,890 : x
2. Step 2: Convert to fraction form
   78,020/167,890 = 167,890/x
3. Step 3: Cross multiply
   78,020x = 167,890 × 167,890
4. Step 4: Simplify right side
   78,020x = 28,187,052,100
5. Step 5: Solve for x
   x = 28,187,052,100/78,020
6. Step 6: Final answer
   x = 361,279.83