Finding the Third Proportional to 261,948 and 394,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,948 : 394,969.50 = 394,969.50 : x
2. Step 2: Convert to fraction form
   261,948/394,969.50 = 394,969.50/x
3. Step 3: Cross multiply
   261,948x = 394,969.50 × 394,969.50
4. Step 4: Simplify right side
   261,948x = 156,000,905,930.25
5. Step 5: Solve for x
   x = 156,000,905,930.25/261,948
6. Step 6: Final answer
   x = 595,541.50