Finding the Third Proportional to 143,523 and 311,931

Step by Step Solution

1. Step 1: Write the proportion equation
   143,523 : 311,931 = 311,931 : x
2. Step 2: Convert to fraction form
   143,523/311,931 = 311,931/x
3. Step 3: Cross multiply
   143,523x = 311,931 × 311,931
4. Step 4: Simplify right side
   143,523x = 97,300,948,761
5. Step 5: Solve for x
   x = 97,300,948,761/143,523
6. Step 6: Final answer
   x = 677,946.73