Finding the Third Proportional to 175,978 and 414,981

Step by Step Solution

1. Step 1: Write the proportion equation
   175,978 : 414,981 = 414,981 : x
2. Step 2: Convert to fraction form
   175,978/414,981 = 414,981/x
3. Step 3: Cross multiply
   175,978x = 414,981 × 414,981
4. Step 4: Simplify right side
   175,978x = 172,209,230,361
5. Step 5: Solve for x
   x = 172,209,230,361/175,978
6. Step 6: Final answer
   x = 978,583.86