Finding the Third Proportional to 263,320 and 424,072

Step by Step Solution

1. Step 1: Write the proportion equation
   263,320 : 424,072 = 424,072 : x
2. Step 2: Convert to fraction form
   263,320/424,072 = 424,072/x
3. Step 3: Cross multiply
   263,320x = 424,072 × 424,072
4. Step 4: Simplify right side
   263,320x = 179,837,061,184
5. Step 5: Solve for x
   x = 179,837,061,184/263,320
6. Step 6: Final answer
   x = 682,960.13