Finding the Third Proportional to 195,897 and 290,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,897 : 290,965.50 = 290,965.50 : x
2. Step 2: Convert to fraction form
   195,897/290,965.50 = 290,965.50/x
3. Step 3: Cross multiply
   195,897x = 290,965.50 × 290,965.50
4. Step 4: Simplify right side
   195,897x = 84,660,922,190.25
5. Step 5: Solve for x
   x = 84,660,922,190.25/195,897
6. Step 6: Final answer
   x = 432,170.59