Finding the Third Proportional to 123,766 and 298,054

Step by Step Solution

1. Step 1: Write the proportion equation
   123,766 : 298,054 = 298,054 : x
2. Step 2: Convert to fraction form
   123,766/298,054 = 298,054/x
3. Step 3: Cross multiply
   123,766x = 298,054 × 298,054
4. Step 4: Simplify right side
   123,766x = 88,836,186,916
5. Step 5: Solve for x
   x = 88,836,186,916/123,766
6. Step 6: Final answer
   x = 717,775.37