Finding the Third Proportional to 143,013 and 314,682

Step by Step Solution

1. Step 1: Write the proportion equation
   143,013 : 314,682 = 314,682 : x
2. Step 2: Convert to fraction form
   143,013/314,682 = 314,682/x
3. Step 3: Cross multiply
   143,013x = 314,682 × 314,682
4. Step 4: Simplify right side
   143,013x = 99,024,761,124
5. Step 5: Solve for x
   x = 99,024,761,124/143,013
6. Step 6: Final answer
   x = 692,417.90