Finding the Third Proportional to 81,494 and 168,064

Step by Step Solution

1. Step 1: Write the proportion equation
   81,494 : 168,064 = 168,064 : x
2. Step 2: Convert to fraction form
   81,494/168,064 = 168,064/x
3. Step 3: Cross multiply
   81,494x = 168,064 × 168,064
4. Step 4: Simplify right side
   81,494x = 28,245,508,096
5. Step 5: Solve for x
   x = 28,245,508,096/81,494
6. Step 6: Final answer
   x = 346,596.17