Finding the Third Proportional to 311,502 and 693,096

Step by Step Solution

1. Step 1: Write the proportion equation
   311,502 : 693,096 = 693,096 : x
2. Step 2: Convert to fraction form
   311,502/693,096 = 693,096/x
3. Step 3: Cross multiply
   311,502x = 693,096 × 693,096
4. Step 4: Simplify right side
   311,502x = 480,382,065,216
5. Step 5: Solve for x
   x = 480,382,065,216/311,502
6. Step 6: Final answer
   x = 1,542,147.61