Finding the Third Proportional to 143,541 and 314,298

Step by Step Solution

1. Step 1: Write the proportion equation
   143,541 : 314,298 = 314,298 : x
2. Step 2: Convert to fraction form
   143,541/314,298 = 314,298/x
3. Step 3: Cross multiply
   143,541x = 314,298 × 314,298
4. Step 4: Simplify right side
   143,541x = 98,783,232,804
5. Step 5: Solve for x
   x = 98,783,232,804/143,541
6. Step 6: Final answer
   x = 688,188.27