Finding the Third Proportional to 83,128 and 178,166

Step by Step Solution

1. Step 1: Write the proportion equation
   83,128 : 178,166 = 178,166 : x
2. Step 2: Convert to fraction form
   83,128/178,166 = 178,166/x
3. Step 3: Cross multiply
   83,128x = 178,166 × 178,166
4. Step 4: Simplify right side
   83,128x = 31,743,123,556
5. Step 5: Solve for x
   x = 31,743,123,556/83,128
6. Step 6: Final answer
   x = 381,858.38