Finding the Third Proportional to 143,082 and 314,766

Step by Step Solution

1. Step 1: Write the proportion equation
   143,082 : 314,766 = 314,766 : x
2. Step 2: Convert to fraction form
   143,082/314,766 = 314,766/x
3. Step 3: Cross multiply
   143,082x = 314,766 × 314,766
4. Step 4: Simplify right side
   143,082x = 99,077,634,756
5. Step 5: Solve for x
   x = 99,077,634,756/143,082
6. Step 6: Final answer
   x = 692,453.52