Finding the Third Proportional to 293,983.50 and 414,006

Step by Step Solution

1. Step 1: Write the proportion equation
   293,983.50 : 414,006 = 414,006 : x
2. Step 2: Convert to fraction form
   293,983.50/414,006 = 414,006/x
3. Step 3: Cross multiply
   293,983.50x = 414,006 × 414,006
4. Step 4: Simplify right side
   293,983.50x = 171,400,968,036
5. Step 5: Solve for x
   x = 171,400,968,036/293,983.50
6. Step 6: Final answer
   x = 583,029.21