Finding the Third Proportional to 85,854 and 131,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,854 : 131,333.50 = 131,333.50 : x
2. Step 2: Convert to fraction form
   85,854/131,333.50 = 131,333.50/x
3. Step 3: Cross multiply
   85,854x = 131,333.50 × 131,333.50
4. Step 4: Simplify right side
   85,854x = 17,248,488,222.25
5. Step 5: Solve for x
   x = 17,248,488,222.25/85,854
6. Step 6: Final answer
   x = 200,904.89