Finding the Third Proportional to 171,978 and 364,846

Step by Step Solution

1. Step 1: Write the proportion equation
   171,978 : 364,846 = 364,846 : x
2. Step 2: Convert to fraction form
   171,978/364,846 = 364,846/x
3. Step 3: Cross multiply
   171,978x = 364,846 × 364,846
4. Step 4: Simplify right side
   171,978x = 133,112,603,716
5. Step 5: Solve for x
   x = 133,112,603,716/171,978
6. Step 6: Final answer
   x = 774,009.49