Finding the Third Proportional to 155,002 and 316,564

Step by Step Solution

1. Step 1: Write the proportion equation
   155,002 : 316,564 = 316,564 : x
2. Step 2: Convert to fraction form
   155,002/316,564 = 316,564/x
3. Step 3: Cross multiply
   155,002x = 316,564 × 316,564
4. Step 4: Simplify right side
   155,002x = 100,212,766,096
5. Step 5: Solve for x
   x = 100,212,766,096/155,002
6. Step 6: Final answer
   x = 646,525.63