Finding the Third Proportional to 71,890 and 155,996

Step by Step Solution

1. Step 1: Write the proportion equation
   71,890 : 155,996 = 155,996 : x
2. Step 2: Convert to fraction form
   71,890/155,996 = 155,996/x
3. Step 3: Cross multiply
   71,890x = 155,996 × 155,996
4. Step 4: Simplify right side
   71,890x = 24,334,752,016
5. Step 5: Solve for x
   x = 24,334,752,016/71,890
6. Step 6: Final answer
   x = 338,499.82