Finding the Third Proportional to 194,998 and 421,978

Step by Step Solution

1. Step 1: Write the proportion equation
   194,998 : 421,978 = 421,978 : x
2. Step 2: Convert to fraction form
   194,998/421,978 = 421,978/x
3. Step 3: Cross multiply
   194,998x = 421,978 × 421,978
4. Step 4: Simplify right side
   194,998x = 178,065,432,484
5. Step 5: Solve for x
   x = 178,065,432,484/194,998
6. Step 6: Final answer
   x = 913,165.43