Finding the Third Proportional to 141,946 and 311,540

Step by Step Solution

1. Step 1: Write the proportion equation
   141,946 : 311,540 = 311,540 : x
2. Step 2: Convert to fraction form
   141,946/311,540 = 311,540/x
3. Step 3: Cross multiply
   141,946x = 311,540 × 311,540
4. Step 4: Simplify right side
   141,946x = 97,057,171,600
5. Step 5: Solve for x
   x = 97,057,171,600/141,946
6. Step 6: Final answer
   x = 683,761.23