Finding the Third Proportional to 161,536.50 and 231,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   161,536.50 : 231,227.50 = 231,227.50 : x
2. Step 2: Convert to fraction form
   161,536.50/231,227.50 = 231,227.50/x
3. Step 3: Cross multiply
   161,536.50x = 231,227.50 × 231,227.50
4. Step 4: Simplify right side
   161,536.50x = 53,466,156,756.25
5. Step 5: Solve for x
   x = 53,466,156,756.25/161,536.50
6. Step 6: Final answer
   x = 330,984.99