Finding the Third Proportional to 85,684 and 133,996

Step by Step Solution

1. Step 1: Write the proportion equation
   85,684 : 133,996 = 133,996 : x
2. Step 2: Convert to fraction form
   85,684/133,996 = 133,996/x
3. Step 3: Cross multiply
   85,684x = 133,996 × 133,996
4. Step 4: Simplify right side
   85,684x = 17,954,928,016
5. Step 5: Solve for x
   x = 17,954,928,016/85,684
6. Step 6: Final answer
   x = 209,548.20