Finding the Third Proportional to 145,665 and 317,810

Step by Step Solution

1. Step 1: Write the proportion equation
   145,665 : 317,810 = 317,810 : x
2. Step 2: Convert to fraction form
   145,665/317,810 = 317,810/x
3. Step 3: Cross multiply
   145,665x = 317,810 × 317,810
4. Step 4: Simplify right side
   145,665x = 101,003,196,100
5. Step 5: Solve for x
   x = 101,003,196,100/145,665
6. Step 6: Final answer
   x = 693,393.72