Finding the Third Proportional to 76,870 and 168,320

Step by Step Solution

1. Step 1: Write the proportion equation
   76,870 : 168,320 = 168,320 : x
2. Step 2: Convert to fraction form
   76,870/168,320 = 168,320/x
3. Step 3: Cross multiply
   76,870x = 168,320 × 168,320
4. Step 4: Simplify right side
   76,870x = 28,331,622,400
5. Step 5: Solve for x
   x = 28,331,622,400/76,870
6. Step 6: Final answer
   x = 368,565.40