Finding the Third Proportional to 226,476 and 492,264

Step by Step Solution

1. Step 1: Write the proportion equation
   226,476 : 492,264 = 492,264 : x
2. Step 2: Convert to fraction form
   226,476/492,264 = 492,264/x
3. Step 3: Cross multiply
   226,476x = 492,264 × 492,264
4. Step 4: Simplify right side
   226,476x = 242,323,845,696
5. Step 5: Solve for x
   x = 242,323,845,696/226,476
6. Step 6: Final answer
   x = 1,069,975.83