Finding the Third Proportional to 359,640 and 536,997

Step by Step Solution

1. Step 1: Write the proportion equation
   359,640 : 536,997 = 536,997 : x
2. Step 2: Convert to fraction form
   359,640/536,997 = 536,997/x
3. Step 3: Cross multiply
   359,640x = 536,997 × 536,997
4. Step 4: Simplify right side
   359,640x = 288,365,778,009
5. Step 5: Solve for x
   x = 288,365,778,009/359,640
6. Step 6: Final answer
   x = 801,817.87