Finding the Third Proportional to 230,664 and 496,896

Step by Step Solution

1. Step 1: Write the proportion equation
   230,664 : 496,896 = 496,896 : x
2. Step 2: Convert to fraction form
   230,664/496,896 = 496,896/x
3. Step 3: Cross multiply
   230,664x = 496,896 × 496,896
4. Step 4: Simplify right side
   230,664x = 246,905,634,816
5. Step 5: Solve for x
   x = 246,905,634,816/230,664
6. Step 6: Final answer
   x = 1,070,412.53