Finding the Third Proportional to 78,042 and 168,564

Step by Step Solution

1. Step 1: Write the proportion equation
   78,042 : 168,564 = 168,564 : x
2. Step 2: Convert to fraction form
   78,042/168,564 = 168,564/x
3. Step 3: Cross multiply
   78,042x = 168,564 × 168,564
4. Step 4: Simplify right side
   78,042x = 28,413,822,096
5. Step 5: Solve for x
   x = 28,413,822,096/78,042
6. Step 6: Final answer
   x = 364,083.73