Finding the Third Proportional to 74,174 and 164,978

Step by Step Solution

1. Step 1: Write the proportion equation
   74,174 : 164,978 = 164,978 : x
2. Step 2: Convert to fraction form
   74,174/164,978 = 164,978/x
3. Step 3: Cross multiply
   74,174x = 164,978 × 164,978
4. Step 4: Simplify right side
   74,174x = 27,217,740,484
5. Step 5: Solve for x
   x = 27,217,740,484/74,174
6. Step 6: Final answer
   x = 366,944.49