Finding the Third Proportional to 105,414 and 230,492

Step by Step Solution

1. Step 1: Write the proportion equation
   105,414 : 230,492 = 230,492 : x
2. Step 2: Convert to fraction form
   105,414/230,492 = 230,492/x
3. Step 3: Cross multiply
   105,414x = 230,492 × 230,492
4. Step 4: Simplify right side
   105,414x = 53,126,562,064
5. Step 5: Solve for x
   x = 53,126,562,064/105,414
6. Step 6: Final answer
   x = 503,980.14