Finding the Third Proportional to 464,508 and 678,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   464,508 : 678,838.50 = 678,838.50 : x
2. Step 2: Convert to fraction form
   464,508/678,838.50 = 678,838.50/x
3. Step 3: Cross multiply
   464,508x = 678,838.50 × 678,838.50
4. Step 4: Simplify right side
   464,508x = 460,821,709,082.25
5. Step 5: Solve for x
   x = 460,821,709,082.25/464,508
6. Step 6: Final answer
   x = 992,064.10