Finding the Third Proportional to 83,450 and 185,558

Step by Step Solution

1. Step 1: Write the proportion equation
   83,450 : 185,558 = 185,558 : x
2. Step 2: Convert to fraction form
   83,450/185,558 = 185,558/x
3. Step 3: Cross multiply
   83,450x = 185,558 × 185,558
4. Step 4: Simplify right side
   83,450x = 34,431,771,364
5. Step 5: Solve for x
   x = 34,431,771,364/83,450
6. Step 6: Final answer
   x = 412,603.61