Finding the Third Proportional to 190,978 and 415,940

Step by Step Solution

1. Step 1: Write the proportion equation
   190,978 : 415,940 = 415,940 : x
2. Step 2: Convert to fraction form
   190,978/415,940 = 415,940/x
3. Step 3: Cross multiply
   190,978x = 415,940 × 415,940
4. Step 4: Simplify right side
   190,978x = 173,006,083,600
5. Step 5: Solve for x
   x = 173,006,083,600/190,978
6. Step 6: Final answer
   x = 905,895.36