Finding the Third Proportional to 268,047 and 415,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,047 : 415,210.50 = 415,210.50 : x
2. Step 2: Convert to fraction form
   268,047/415,210.50 = 415,210.50/x
3. Step 3: Cross multiply
   268,047x = 415,210.50 × 415,210.50
4. Step 4: Simplify right side
   268,047x = 172,399,759,310.25
5. Step 5: Solve for x
   x = 172,399,759,310.25/268,047
6. Step 6: Final answer
   x = 643,169.89