Finding the Third Proportional to 85,824 and 131,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,824 : 131,287.50 = 131,287.50 : x
2. Step 2: Convert to fraction form
   85,824/131,287.50 = 131,287.50/x
3. Step 3: Cross multiply
   85,824x = 131,287.50 × 131,287.50
4. Step 4: Simplify right side
   85,824x = 17,236,407,656.25
5. Step 5: Solve for x
   x = 17,236,407,656.25/85,824
6. Step 6: Final answer
   x = 200,834.35