Finding the Third Proportional to 195,906 and 290,978

Step by Step Solution

1. Step 1: Write the proportion equation
   195,906 : 290,978 = 290,978 : x
2. Step 2: Convert to fraction form
   195,906/290,978 = 290,978/x
3. Step 3: Cross multiply
   195,906x = 290,978 × 290,978
4. Step 4: Simplify right side
   195,906x = 84,668,196,484
5. Step 5: Solve for x
   x = 84,668,196,484/195,906
6. Step 6: Final answer
   x = 432,187.87