Finding the Third Proportional to 442,180 and 947,446

Step by Step Solution

1. Step 1: Write the proportion equation
   442,180 : 947,446 = 947,446 : x
2. Step 2: Convert to fraction form
   442,180/947,446 = 947,446/x
3. Step 3: Cross multiply
   442,180x = 947,446 × 947,446
4. Step 4: Simplify right side
   442,180x = 897,653,922,916
5. Step 5: Solve for x
   x = 897,653,922,916/442,180
6. Step 6: Final answer
   x = 2,030,064.51