Finding the Third Proportional to 318,657 and 693,510

Step by Step Solution

1. Step 1: Write the proportion equation
   318,657 : 693,510 = 693,510 : x
2. Step 2: Convert to fraction form
   318,657/693,510 = 693,510/x
3. Step 3: Cross multiply
   318,657x = 693,510 × 693,510
4. Step 4: Simplify right side
   318,657x = 480,956,120,100
5. Step 5: Solve for x
   x = 480,956,120,100/318,657
6. Step 6: Final answer
   x = 1,509,322.31