Finding the Third Proportional to 145,705 and 317,046

Step by Step Solution

1. Step 1: Write the proportion equation
   145,705 : 317,046 = 317,046 : x
2. Step 2: Convert to fraction form
   145,705/317,046 = 317,046/x
3. Step 3: Cross multiply
   145,705x = 317,046 × 317,046
4. Step 4: Simplify right side
   145,705x = 100,518,166,116
5. Step 5: Solve for x
   x = 100,518,166,116/145,705
6. Step 6: Final answer
   x = 689,874.51