Finding the Third Proportional to 478,978 and 798,262

Step by Step Solution

1. Step 1: Write the proportion equation
   478,978 : 798,262 = 798,262 : x
2. Step 2: Convert to fraction form
   478,978/798,262 = 798,262/x
3. Step 3: Cross multiply
   478,978x = 798,262 × 798,262
4. Step 4: Simplify right side
   478,978x = 637,222,220,644
5. Step 5: Solve for x
   x = 637,222,220,644/478,978
6. Step 6: Final answer
   x = 1,330,378.89