Finding the Third Proportional to 144,240 and 314,724

Step by Step Solution

1. Step 1: Write the proportion equation
   144,240 : 314,724 = 314,724 : x
2. Step 2: Convert to fraction form
   144,240/314,724 = 314,724/x
3. Step 3: Cross multiply
   144,240x = 314,724 × 314,724
4. Step 4: Simplify right side
   144,240x = 99,051,196,176
5. Step 5: Solve for x
   x = 99,051,196,176/144,240
6. Step 6: Final answer
   x = 686,711.01