Finding the Third Proportional to 309,643.50 and 512,466

Step by Step Solution

1. Step 1: Write the proportion equation
   309,643.50 : 512,466 = 512,466 : x
2. Step 2: Convert to fraction form
   309,643.50/512,466 = 512,466/x
3. Step 3: Cross multiply
   309,643.50x = 512,466 × 512,466
4. Step 4: Simplify right side
   309,643.50x = 262,621,401,156
5. Step 5: Solve for x
   x = 262,621,401,156/309,643.50
6. Step 6: Final answer
   x = 848,141.17