Finding the Third Proportional to 111,684 and 243,066

Step by Step Solution

1. Step 1: Write the proportion equation
   111,684 : 243,066 = 243,066 : x
2. Step 2: Convert to fraction form
   111,684/243,066 = 243,066/x
3. Step 3: Cross multiply
   111,684x = 243,066 × 243,066
4. Step 4: Simplify right side
   111,684x = 59,081,080,356
5. Step 5: Solve for x
   x = 59,081,080,356/111,684
6. Step 6: Final answer
   x = 529,002.19