Finding the Third Proportional to 83,384 and 170,164

Step by Step Solution

1. Step 1: Write the proportion equation
   83,384 : 170,164 = 170,164 : x
2. Step 2: Convert to fraction form
   83,384/170,164 = 170,164/x
3. Step 3: Cross multiply
   83,384x = 170,164 × 170,164
4. Step 4: Simplify right side
   83,384x = 28,955,786,896
5. Step 5: Solve for x
   x = 28,955,786,896/83,384
6. Step 6: Final answer
   x = 347,258.31