Finding the Third Proportional to 144,180 and 314,604

Step by Step Solution

1. Step 1: Write the proportion equation
   144,180 : 314,604 = 314,604 : x
2. Step 2: Convert to fraction form
   144,180/314,604 = 314,604/x
3. Step 3: Cross multiply
   144,180x = 314,604 × 314,604
4. Step 4: Simplify right side
   144,180x = 98,975,676,816
5. Step 5: Solve for x
   x = 98,975,676,816/144,180
6. Step 6: Final answer
   x = 686,473.00