Finding the Third Proportional to 109,066 and 230,707

Step by Step Solution

1. Step 1: Write the proportion equation
   109,066 : 230,707 = 230,707 : x
2. Step 2: Convert to fraction form
   109,066/230,707 = 230,707/x
3. Step 3: Cross multiply
   109,066x = 230,707 × 230,707
4. Step 4: Simplify right side
   109,066x = 53,225,719,849
5. Step 5: Solve for x
   x = 53,225,719,849/109,066
6. Step 6: Final answer
   x = 488,013.86