Finding the Third Proportional to 314,554.50 and 684,405

Step by Step Solution

1. Step 1: Write the proportion equation
   314,554.50 : 684,405 = 684,405 : x
2. Step 2: Convert to fraction form
   314,554.50/684,405 = 684,405/x
3. Step 3: Cross multiply
   314,554.50x = 684,405 × 684,405
4. Step 4: Simplify right side
   314,554.50x = 468,410,204,025
5. Step 5: Solve for x
   x = 468,410,204,025/314,554.50
6. Step 6: Final answer
   x = 1,489,122.57