Finding the Third Proportional to 78,038 and 168,386

Step by Step Solution

1. Step 1: Write the proportion equation
   78,038 : 168,386 = 168,386 : x
2. Step 2: Convert to fraction form
   78,038/168,386 = 168,386/x
3. Step 3: Cross multiply
   78,038x = 168,386 × 168,386
4. Step 4: Simplify right side
   78,038x = 28,353,844,996
5. Step 5: Solve for x
   x = 28,353,844,996/78,038
6. Step 6: Final answer
   x = 363,333.82