Finding the Third Proportional to 147,087 and 317,502

Step by Step Solution

1. Step 1: Write the proportion equation
   147,087 : 317,502 = 317,502 : x
2. Step 2: Convert to fraction form
   147,087/317,502 = 317,502/x
3. Step 3: Cross multiply
   147,087x = 317,502 × 317,502
4. Step 4: Simplify right side
   147,087x = 100,807,520,004
5. Step 5: Solve for x
   x = 100,807,520,004/147,087
6. Step 6: Final answer
   x = 685,359.82