Finding the Third Proportional to 78,084 and 168,000

Step by Step Solution

1. Step 1: Write the proportion equation
   78,084 : 168,000 = 168,000 : x
2. Step 2: Convert to fraction form
   78,084/168,000 = 168,000/x
3. Step 3: Cross multiply
   78,084x = 168,000 × 168,000
4. Step 4: Simplify right side
   78,084x = 28,224,000,000
5. Step 5: Solve for x
   x = 28,224,000,000/78,084
6. Step 6: Final answer
   x = 361,456.89