Finding the Third Proportional to 144,760 and 314,300

Step by Step Solution

1. Step 1: Write the proportion equation
   144,760 : 314,300 = 314,300 : x
2. Step 2: Convert to fraction form
   144,760/314,300 = 314,300/x
3. Step 3: Cross multiply
   144,760x = 314,300 × 314,300
4. Step 4: Simplify right side
   144,760x = 98,784,490,000
5. Step 5: Solve for x
   x = 98,784,490,000/144,760
6. Step 6: Final answer
   x = 682,401.84