Finding the Third Proportional to 143,687 and 314,126

Step by Step Solution

1. Step 1: Write the proportion equation
   143,687 : 314,126 = 314,126 : x
2. Step 2: Convert to fraction form
   143,687/314,126 = 314,126/x
3. Step 3: Cross multiply
   143,687x = 314,126 × 314,126
4. Step 4: Simplify right side
   143,687x = 98,675,143,876
5. Step 5: Solve for x
   x = 98,675,143,876/143,687
6. Step 6: Final answer
   x = 686,736.75