Finding the Third Proportional to 83,460 and 179,064

Step by Step Solution

1. Step 1: Write the proportion equation
   83,460 : 179,064 = 179,064 : x
2. Step 2: Convert to fraction form
   83,460/179,064 = 179,064/x
3. Step 3: Cross multiply
   83,460x = 179,064 × 179,064
4. Step 4: Simplify right side
   83,460x = 32,063,916,096
5. Step 5: Solve for x
   x = 32,063,916,096/83,460
6. Step 6: Final answer
   x = 384,183.03