Finding the Third Proportional to 143,514 and 314,388

Step by Step Solution

1. Step 1: Write the proportion equation
   143,514 : 314,388 = 314,388 : x
2. Step 2: Convert to fraction form
   143,514/314,388 = 314,388/x
3. Step 3: Cross multiply
   143,514x = 314,388 × 314,388
4. Step 4: Simplify right side
   143,514x = 98,839,814,544
5. Step 5: Solve for x
   x = 98,839,814,544/143,514
6. Step 6: Final answer
   x = 688,712.00