Finding the Third Proportional to 96,086.50 and 140,427

Step by Step Solution

1. Step 1: Write the proportion equation
   96,086.50 : 140,427 = 140,427 : x
2. Step 2: Convert to fraction form
   96,086.50/140,427 = 140,427/x
3. Step 3: Cross multiply
   96,086.50x = 140,427 × 140,427
4. Step 4: Simplify right side
   96,086.50x = 19,719,742,329
5. Step 5: Solve for x
   x = 19,719,742,329/96,086.50
6. Step 6: Final answer
   x = 205,229.06