Finding the Third Proportional to 472,978 and 695,635

Step by Step Solution

1. Step 1: Write the proportion equation
   472,978 : 695,635 = 695,635 : x
2. Step 2: Convert to fraction form
   472,978/695,635 = 695,635/x
3. Step 3: Cross multiply
   472,978x = 695,635 × 695,635
4. Step 4: Simplify right side
   472,978x = 483,908,053,225
5. Step 5: Solve for x
   x = 483,908,053,225/472,978
6. Step 6: Final answer
   x = 1,023,109.01