Finding the Third Proportional to 85,809 and 131,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,809 : 131,266.50 = 131,266.50 : x
2. Step 2: Convert to fraction form
   85,809/131,266.50 = 131,266.50/x
3. Step 3: Cross multiply
   85,809x = 131,266.50 × 131,266.50
4. Step 4: Simplify right side
   85,809x = 17,230,894,022.25
5. Step 5: Solve for x
   x = 17,230,894,022.25/85,809
6. Step 6: Final answer
   x = 200,805.21