Finding the Third Proportional to 76,761 and 168,345

Step by Step Solution

1. Step 1: Write the proportion equation
   76,761 : 168,345 = 168,345 : x
2. Step 2: Convert to fraction form
   76,761/168,345 = 168,345/x
3. Step 3: Cross multiply
   76,761x = 168,345 × 168,345
4. Step 4: Simplify right side
   76,761x = 28,340,039,025
5. Step 5: Solve for x
   x = 28,340,039,025/76,761
6. Step 6: Final answer
   x = 369,198.41