Finding the Third Proportional to 414,384.19 and 584,901

Step by Step Solution

1. Step 1: Write the proportion equation
   414,384.19 : 584,901 = 584,901 : x
2. Step 2: Convert to fraction form
   414,384.19/584,901 = 584,901/x
3. Step 3: Cross multiply
   414,384.19x = 584,901 × 584,901
4. Step 4: Simplify right side
   414,384.19x = 342,109,179,801
5. Step 5: Solve for x
   x = 342,109,179,801/414,384.19
6. Step 6: Final answer
   x = 825,584.54