Finding the Third Proportional to 365,997 and 584,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,997 : 584,392.50 = 584,392.50 : x
2. Step 2: Convert to fraction form
   365,997/584,392.50 = 584,392.50/x
3. Step 3: Cross multiply
   365,997x = 584,392.50 × 584,392.50
4. Step 4: Simplify right side
   365,997x = 341,514,594,056.25
5. Step 5: Solve for x
   x = 341,514,594,056.25/365,997
6. Step 6: Final answer
   x = 933,107.63