Finding the Third Proportional to 85,825 and 131,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,825 : 131,291.50 = 131,291.50 : x
2. Step 2: Convert to fraction form
   85,825/131,291.50 = 131,291.50/x
3. Step 3: Cross multiply
   85,825x = 131,291.50 × 131,291.50
4. Step 4: Simplify right side
   85,825x = 17,237,457,972.25
5. Step 5: Solve for x
   x = 17,237,457,972.25/85,825
6. Step 6: Final answer
   x = 200,844.25