Finding the Third Proportional to 226,320 and 496,164

Step by Step Solution

1. Step 1: Write the proportion equation
   226,320 : 496,164 = 496,164 : x
2. Step 2: Convert to fraction form
   226,320/496,164 = 496,164/x
3. Step 3: Cross multiply
   226,320x = 496,164 × 496,164
4. Step 4: Simplify right side
   226,320x = 246,178,714,896
5. Step 5: Solve for x
   x = 246,178,714,896/226,320
6. Step 6: Final answer
   x = 1,087,746.18