Finding the Third Proportional to 85,724 and 131,867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,724 : 131,867.50 = 131,867.50 : x
2. Step 2: Convert to fraction form
   85,724/131,867.50 = 131,867.50/x
3. Step 3: Cross multiply
   85,724x = 131,867.50 × 131,867.50
4. Step 4: Simplify right side
   85,724x = 17,389,037,556.25
5. Step 5: Solve for x
   x = 17,389,037,556.25/85,724
6. Step 6: Final answer
   x = 202,849.12