Finding the Third Proportional to 203,978 and 293,789

Step by Step Solution

1. Step 1: Write the proportion equation
   203,978 : 293,789 = 293,789 : x
2. Step 2: Convert to fraction form
   203,978/293,789 = 293,789/x
3. Step 3: Cross multiply
   203,978x = 293,789 × 293,789
4. Step 4: Simplify right side
   203,978x = 86,311,976,521
5. Step 5: Solve for x
   x = 86,311,976,521/203,978
6. Step 6: Final answer
   x = 423,143.56