Finding the Third Proportional to 327,693 and 442,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,693 : 442,732.50 = 442,732.50 : x
2. Step 2: Convert to fraction form
   327,693/442,732.50 = 442,732.50/x
3. Step 3: Cross multiply
   327,693x = 442,732.50 × 442,732.50
4. Step 4: Simplify right side
   327,693x = 196,012,066,556.25
5. Step 5: Solve for x
   x = 196,012,066,556.25/327,693
6. Step 6: Final answer
   x = 598,157.62