Finding the Third Proportional to 331,896 and 510,456

Step by Step Solution

1. Step 1: Write the proportion equation
   331,896 : 510,456 = 510,456 : x
2. Step 2: Convert to fraction form
   331,896/510,456 = 510,456/x
3. Step 3: Cross multiply
   331,896x = 510,456 × 510,456
4. Step 4: Simplify right side
   331,896x = 260,565,327,936
5. Step 5: Solve for x
   x = 260,565,327,936/331,896
6. Step 6: Final answer
   x = 785,081.25