Finding the Third Proportional to 83,176 and 182,456

Step by Step Solution

1. Step 1: Write the proportion equation
   83,176 : 182,456 = 182,456 : x
2. Step 2: Convert to fraction form
   83,176/182,456 = 182,456/x
3. Step 3: Cross multiply
   83,176x = 182,456 × 182,456
4. Step 4: Simplify right side
   83,176x = 33,290,191,936
5. Step 5: Solve for x
   x = 33,290,191,936/83,176
6. Step 6: Final answer
   x = 400,237.95