Finding the Third Proportional to 82,364 and 167,642

Step by Step Solution

1. Step 1: Write the proportion equation
   82,364 : 167,642 = 167,642 : x
2. Step 2: Convert to fraction form
   82,364/167,642 = 167,642/x
3. Step 3: Cross multiply
   82,364x = 167,642 × 167,642
4. Step 4: Simplify right side
   82,364x = 28,103,840,164
5. Step 5: Solve for x
   x = 28,103,840,164/82,364
6. Step 6: Final answer
   x = 341,215.10