Finding the Third Proportional to 105,316 and 227,492

Step by Step Solution

1. Step 1: Write the proportion equation
   105,316 : 227,492 = 227,492 : x
2. Step 2: Convert to fraction form
   105,316/227,492 = 227,492/x
3. Step 3: Cross multiply
   105,316x = 227,492 × 227,492
4. Step 4: Simplify right side
   105,316x = 51,752,610,064
5. Step 5: Solve for x
   x = 51,752,610,064/105,316
6. Step 6: Final answer
   x = 491,403.11