Finding the Third Proportional to 226,176 and 497,064

Step by Step Solution

1. Step 1: Write the proportion equation
   226,176 : 497,064 = 497,064 : x
2. Step 2: Convert to fraction form
   226,176/497,064 = 497,064/x
3. Step 3: Cross multiply
   226,176x = 497,064 × 497,064
4. Step 4: Simplify right side
   226,176x = 247,072,620,096
5. Step 5: Solve for x
   x = 247,072,620,096/226,176
6. Step 6: Final answer
   x = 1,092,390.97