Finding the Third Proportional to 300,692 and 699,216

Step by Step Solution

1. Step 1: Write the proportion equation
   300,692 : 699,216 = 699,216 : x
2. Step 2: Convert to fraction form
   300,692/699,216 = 699,216/x
3. Step 3: Cross multiply
   300,692x = 699,216 × 699,216
4. Step 4: Simplify right side
   300,692x = 488,903,014,656
5. Step 5: Solve for x
   x = 488,903,014,656/300,692
6. Step 6: Final answer
   x = 1,625,926.25