Finding the Third Proportional to 375,978 and 582,456

Step by Step Solution

1. Step 1: Write the proportion equation
   375,978 : 582,456 = 582,456 : x
2. Step 2: Convert to fraction form
   375,978/582,456 = 582,456/x
3. Step 3: Cross multiply
   375,978x = 582,456 × 582,456
4. Step 4: Simplify right side
   375,978x = 339,254,991,936
5. Step 5: Solve for x
   x = 339,254,991,936/375,978
6. Step 6: Final answer
   x = 902,326.71