Finding the Third Proportional to 638,388 and 965,196

Step by Step Solution

1. Step 1: Write the proportion equation
   638,388 : 965,196 = 965,196 : x
2. Step 2: Convert to fraction form
   638,388/965,196 = 965,196/x
3. Step 3: Cross multiply
   638,388x = 965,196 × 965,196
4. Step 4: Simplify right side
   638,388x = 931,603,318,416
5. Step 5: Solve for x
   x = 931,603,318,416/638,388
6. Step 6: Final answer
   x = 1,459,305.81