Finding the Third Proportional to 50,164.75 and 82,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   50,164.75 : 82,705.25 = 82,705.25 : x
2. Step 2: Convert to fraction form
   50,164.75/82,705.25 = 82,705.25/x
3. Step 3: Cross multiply
   50,164.75x = 82,705.25 × 82,705.25
4. Step 4: Simplify right side
   50,164.75x = 6,840,158,377.56
5. Step 5: Solve for x
   x = 6,840,158,377.56/50,164.75
6. Step 6: Final answer
   x = 136,353.88