Finding the Third Proportional to 494,500 and 706,470

Step by Step Solution

1. Step 1: Write the proportion equation
   494,500 : 706,470 = 706,470 : x
2. Step 2: Convert to fraction form
   494,500/706,470 = 706,470/x
3. Step 3: Cross multiply
   494,500x = 706,470 × 706,470
4. Step 4: Simplify right side
   494,500x = 499,099,860,900
5. Step 5: Solve for x
   x = 499,099,860,900/494,500
6. Step 6: Final answer
   x = 1,009,302.04