Finding the Third Proportional to 214,042 and 468,684

Step by Step Solution

1. Step 1: Write the proportion equation
   214,042 : 468,684 = 468,684 : x
2. Step 2: Convert to fraction form
   214,042/468,684 = 468,684/x
3. Step 3: Cross multiply
   214,042x = 468,684 × 468,684
4. Step 4: Simplify right side
   214,042x = 219,664,691,856
5. Step 5: Solve for x
   x = 219,664,691,856/214,042
6. Step 6: Final answer
   x = 1,026,269.11