Finding the Third Proportional to 261,289.50 and 381,852

Step by Step Solution

1. Step 1: Write the proportion equation
   261,289.50 : 381,852 = 381,852 : x
2. Step 2: Convert to fraction form
   261,289.50/381,852 = 381,852/x
3. Step 3: Cross multiply
   261,289.50x = 381,852 × 381,852
4. Step 4: Simplify right side
   261,289.50x = 145,810,949,904
5. Step 5: Solve for x
   x = 145,810,949,904/261,289.50
6. Step 6: Final answer
   x = 558,043.66