Finding the Third Proportional to 105,184 and 231,402

Step by Step Solution

1. Step 1: Write the proportion equation
   105,184 : 231,402 = 231,402 : x
2. Step 2: Convert to fraction form
   105,184/231,402 = 231,402/x
3. Step 3: Cross multiply
   105,184x = 231,402 × 231,402
4. Step 4: Simplify right side
   105,184x = 53,546,885,604
5. Step 5: Solve for x
   x = 53,546,885,604/105,184
6. Step 6: Final answer
   x = 509,078.24