Finding the Third Proportional to 195,899 and 290,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,899 : 290,968.50 = 290,968.50 : x
2. Step 2: Convert to fraction form
   195,899/290,968.50 = 290,968.50/x
3. Step 3: Cross multiply
   195,899x = 290,968.50 × 290,968.50
4. Step 4: Simplify right side
   195,899x = 84,662,667,992.25
5. Step 5: Solve for x
   x = 84,662,667,992.25/195,899
6. Step 6: Final answer
   x = 432,175.09