Finding the Third Proportional to 174,010 and 379,978

Step by Step Solution

1. Step 1: Write the proportion equation
   174,010 : 379,978 = 379,978 : x
2. Step 2: Convert to fraction form
   174,010/379,978 = 379,978/x
3. Step 3: Cross multiply
   174,010x = 379,978 × 379,978
4. Step 4: Simplify right side
   174,010x = 144,383,280,484
5. Step 5: Solve for x
   x = 144,383,280,484/174,010
6. Step 6: Final answer
   x = 829,741.28