Finding the Third Proportional to 261,478 and 368,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,478 : 368,210.50 = 368,210.50 : x
2. Step 2: Convert to fraction form
   261,478/368,210.50 = 368,210.50/x
3. Step 3: Cross multiply
   261,478x = 368,210.50 × 368,210.50
4. Step 4: Simplify right side
   261,478x = 135,578,972,310.25
5. Step 5: Solve for x
   x = 135,578,972,310.25/261,478
6. Step 6: Final answer
   x = 518,510.06