Finding the Third Proportional to 105,358 and 227,549

Step by Step Solution

1. Step 1: Write the proportion equation
   105,358 : 227,549 = 227,549 : x
2. Step 2: Convert to fraction form
   105,358/227,549 = 227,549/x
3. Step 3: Cross multiply
   105,358x = 227,549 × 227,549
4. Step 4: Simplify right side
   105,358x = 51,778,547,401
5. Step 5: Solve for x
   x = 51,778,547,401/105,358
6. Step 6: Final answer
   x = 491,453.40