Finding the Third Proportional to 83,171 and 180,558

Step by Step Solution

1. Step 1: Write the proportion equation
   83,171 : 180,558 = 180,558 : x
2. Step 2: Convert to fraction form
   83,171/180,558 = 180,558/x
3. Step 3: Cross multiply
   83,171x = 180,558 × 180,558
4. Step 4: Simplify right side
   83,171x = 32,601,191,364
5. Step 5: Solve for x
   x = 32,601,191,364/83,171
6. Step 6: Final answer
   x = 391,977.87