Finding the Third Proportional to 268,056 and 416,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,056 : 416,785.50 = 416,785.50 : x
2. Step 2: Convert to fraction form
   268,056/416,785.50 = 416,785.50/x
3. Step 3: Cross multiply
   268,056x = 416,785.50 × 416,785.50
4. Step 4: Simplify right side
   268,056x = 173,710,153,010.25
5. Step 5: Solve for x
   x = 173,710,153,010.25/268,056
6. Step 6: Final answer
   x = 648,036.80