Finding the Third Proportional to 261,330 and 368,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,330 : 368,020.50 = 368,020.50 : x
2. Step 2: Convert to fraction form
   261,330/368,020.50 = 368,020.50/x
3. Step 3: Cross multiply
   261,330x = 368,020.50 × 368,020.50
4. Step 4: Simplify right side
   261,330x = 135,439,088,420.25
5. Step 5: Solve for x
   x = 135,439,088,420.25/261,330
6. Step 6: Final answer
   x = 518,268.43