Finding the Third Proportional to 143,980 and 314,205

Step by Step Solution

1. Step 1: Write the proportion equation
   143,980 : 314,205 = 314,205 : x
2. Step 2: Convert to fraction form
   143,980/314,205 = 314,205/x
3. Step 3: Cross multiply
   143,980x = 314,205 × 314,205
4. Step 4: Simplify right side
   143,980x = 98,724,782,025
5. Step 5: Solve for x
   x = 98,724,782,025/143,980
6. Step 6: Final answer
   x = 685,684.00