Finding the Third Proportional to 83,108 and 178,123

Step by Step Solution

1. Step 1: Write the proportion equation
   83,108 : 178,123 = 178,123 : x
2. Step 2: Convert to fraction form
   83,108/178,123 = 178,123/x
3. Step 3: Cross multiply
   83,108x = 178,123 × 178,123
4. Step 4: Simplify right side
   83,108x = 31,727,803,129
5. Step 5: Solve for x
   x = 31,727,803,129/83,108
6. Step 6: Final answer
   x = 381,765.93