Finding the Third Proportional to 89,004 and 206,958

Step by Step Solution

1. Step 1: Write the proportion equation
   89,004 : 206,958 = 206,958 : x
2. Step 2: Convert to fraction form
   89,004/206,958 = 206,958/x
3. Step 3: Cross multiply
   89,004x = 206,958 × 206,958
4. Step 4: Simplify right side
   89,004x = 42,831,613,764
5. Step 5: Solve for x
   x = 42,831,613,764/89,004
6. Step 6: Final answer
   x = 481,232.46