Finding the Third Proportional to 40,934 and 85,996

Step by Step Solution

1. Step 1: Write the proportion equation
   40,934 : 85,996 = 85,996 : x
2. Step 2: Convert to fraction form
   40,934/85,996 = 85,996/x
3. Step 3: Cross multiply
   40,934x = 85,996 × 85,996
4. Step 4: Simplify right side
   40,934x = 7,395,312,016
5. Step 5: Solve for x
   x = 7,395,312,016/40,934
6. Step 6: Final answer
   x = 180,664.29