Finding the Third Proportional to 442,142 and 947,374

Step by Step Solution

1. Step 1: Write the proportion equation
   442,142 : 947,374 = 947,374 : x
2. Step 2: Convert to fraction form
   442,142/947,374 = 947,374/x
3. Step 3: Cross multiply
   442,142x = 947,374 × 947,374
4. Step 4: Simplify right side
   442,142x = 897,517,495,876
5. Step 5: Solve for x
   x = 897,517,495,876/442,142
6. Step 6: Final answer
   x = 2,029,930.42