Finding the Third Proportional to 314,448 and 678,953.75

Step by Step Solution

1. Step 1: Write the proportion equation
   314,448 : 678,953.75 = 678,953.75 : x
2. Step 2: Convert to fraction form
   314,448/678,953.75 = 678,953.75/x
3. Step 3: Cross multiply
   314,448x = 678,953.75 × 678,953.75
4. Step 4: Simplify right side
   314,448x = 460,978,194,639.06
5. Step 5: Solve for x
   x = 460,978,194,639.06/314,448
6. Step 6: Final answer
   x = 1,465,991.82