Finding the Third Proportional to 143,172 and 314,664

Step by Step Solution

1. Step 1: Write the proportion equation
   143,172 : 314,664 = 314,664 : x
2. Step 2: Convert to fraction form
   143,172/314,664 = 314,664/x
3. Step 3: Cross multiply
   143,172x = 314,664 × 314,664
4. Step 4: Simplify right side
   143,172x = 99,013,432,896
5. Step 5: Solve for x
   x = 99,013,432,896/143,172
6. Step 6: Final answer
   x = 691,569.81