Finding the Third Proportional to 144,644 and 314,166

Step by Step Solution

1. Step 1: Write the proportion equation
   144,644 : 314,166 = 314,166 : x
2. Step 2: Convert to fraction form
   144,644/314,166 = 314,166/x
3. Step 3: Cross multiply
   144,644x = 314,166 × 314,166
4. Step 4: Simplify right side
   144,644x = 98,700,275,556
5. Step 5: Solve for x
   x = 98,700,275,556/144,644
6. Step 6: Final answer
   x = 682,366.88