Finding the Third Proportional to 76,710 and 164,436

Step by Step Solution

1. Step 1: Write the proportion equation
   76,710 : 164,436 = 164,436 : x
2. Step 2: Convert to fraction form
   76,710/164,436 = 164,436/x
3. Step 3: Cross multiply
   76,710x = 164,436 × 164,436
4. Step 4: Simplify right side
   76,710x = 27,039,198,096
5. Step 5: Solve for x
   x = 27,039,198,096/76,710
6. Step 6: Final answer
   x = 352,485.96