Finding the Third Proportional to 194,978 and 425,644

Step by Step Solution

1. Step 1: Write the proportion equation
   194,978 : 425,644 = 425,644 : x
2. Step 2: Convert to fraction form
   194,978/425,644 = 425,644/x
3. Step 3: Cross multiply
   194,978x = 425,644 × 425,644
4. Step 4: Simplify right side
   194,978x = 181,172,814,736
5. Step 5: Solve for x
   x = 181,172,814,736/194,978
6. Step 6: Final answer
   x = 929,196.19