Finding the Third Proportional to 261,796.50 and 400,305

Step by Step Solution

1. Step 1: Write the proportion equation
   261,796.50 : 400,305 = 400,305 : x
2. Step 2: Convert to fraction form
   261,796.50/400,305 = 400,305/x
3. Step 3: Cross multiply
   261,796.50x = 400,305 × 400,305
4. Step 4: Simplify right side
   261,796.50x = 160,244,093,025
5. Step 5: Solve for x
   x = 160,244,093,025/261,796.50
6. Step 6: Final answer
   x = 612,094.10