Finding the Third Proportional to 143,681 and 314,114

Step by Step Solution

1. Step 1: Write the proportion equation
   143,681 : 314,114 = 314,114 : x
2. Step 2: Convert to fraction form
   143,681/314,114 = 314,114/x
3. Step 3: Cross multiply
   143,681x = 314,114 × 314,114
4. Step 4: Simplify right side
   143,681x = 98,667,604,996
5. Step 5: Solve for x
   x = 98,667,604,996/143,681
6. Step 6: Final answer
   x = 686,712.96