Finding the Third Proportional to 405,927 and 576,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405,927 : 576,967.50 = 576,967.50 : x
2. Step 2: Convert to fraction form
   405,927/576,967.50 = 576,967.50/x
3. Step 3: Cross multiply
   405,927x = 576,967.50 × 576,967.50
4. Step 4: Simplify right side
   405,927x = 332,891,496,056.25
5. Step 5: Solve for x
   x = 332,891,496,056.25/405,927
6. Step 6: Final answer
   x = 820,077.25