Finding the Third Proportional to 361,320 and 536,760

Step by Step Solution

1. Step 1: Write the proportion equation
   361,320 : 536,760 = 536,760 : x
2. Step 2: Convert to fraction form
   361,320/536,760 = 536,760/x
3. Step 3: Cross multiply
   361,320x = 536,760 × 536,760
4. Step 4: Simplify right side
   361,320x = 288,111,297,600
5. Step 5: Solve for x
   x = 288,111,297,600/361,320
6. Step 6: Final answer
   x = 797,385.41