Finding the Third Proportional to 175,800 and 378,978

Step by Step Solution

1. Step 1: Write the proportion equation
   175,800 : 378,978 = 378,978 : x
2. Step 2: Convert to fraction form
   175,800/378,978 = 378,978/x
3. Step 3: Cross multiply
   175,800x = 378,978 × 378,978
4. Step 4: Simplify right side
   175,800x = 143,624,324,484
5. Step 5: Solve for x
   x = 143,624,324,484/175,800
6. Step 6: Final answer
   x = 816,975.68