Finding the Third Proportional to 83,505 and 147,171

Step by Step Solution

1. Step 1: Write the proportion equation
   83,505 : 147,171 = 147,171 : x
2. Step 2: Convert to fraction form
   83,505/147,171 = 147,171/x
3. Step 3: Cross multiply
   83,505x = 147,171 × 147,171
4. Step 4: Simplify right side
   83,505x = 21,659,303,241
5. Step 5: Solve for x
   x = 21,659,303,241/83,505
6. Step 6: Final answer
   x = 259,377.32