Finding the Third Proportional to 143,616 and 314,592

Step by Step Solution

1. Step 1: Write the proportion equation
   143,616 : 314,592 = 314,592 : x
2. Step 2: Convert to fraction form
   143,616/314,592 = 314,592/x
3. Step 3: Cross multiply
   143,616x = 314,592 × 314,592
4. Step 4: Simplify right side
   143,616x = 98,968,126,464
5. Step 5: Solve for x
   x = 98,968,126,464/143,616
6. Step 6: Final answer
   x = 689,116.30