Finding the Third Proportional to 232,460 and 496,654

Step by Step Solution

1. Step 1: Write the proportion equation
   232,460 : 496,654 = 496,654 : x
2. Step 2: Convert to fraction form
   232,460/496,654 = 496,654/x
3. Step 3: Cross multiply
   232,460x = 496,654 × 496,654
4. Step 4: Simplify right side
   232,460x = 246,665,195,716
5. Step 5: Solve for x
   x = 246,665,195,716/232,460
6. Step 6: Final answer
   x = 1,061,108.13