Finding the Third Proportional to 85,866 and 131,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,866 : 131,359.50 = 131,359.50 : x
2. Step 2: Convert to fraction form
   85,866/131,359.50 = 131,359.50/x
3. Step 3: Cross multiply
   85,866x = 131,359.50 × 131,359.50
4. Step 4: Simplify right side
   85,866x = 17,255,318,240.25
5. Step 5: Solve for x
   x = 17,255,318,240.25/85,866
6. Step 6: Final answer
   x = 200,956.35