Finding the Third Proportional to 134,948 and 205,996

Step by Step Solution

1. Step 1: Write the proportion equation
   134,948 : 205,996 = 205,996 : x
2. Step 2: Convert to fraction form
   134,948/205,996 = 205,996/x
3. Step 3: Cross multiply
   134,948x = 205,996 × 205,996
4. Step 4: Simplify right side
   134,948x = 42,434,352,016
5. Step 5: Solve for x
   x = 42,434,352,016/134,948
6. Step 6: Final answer
   x = 314,449.65