Finding the Third Proportional to 74,196 and 164,980

Step by Step Solution

1. Step 1: Write the proportion equation
   74,196 : 164,980 = 164,980 : x
2. Step 2: Convert to fraction form
   74,196/164,980 = 164,980/x
3. Step 3: Cross multiply
   74,196x = 164,980 × 164,980
4. Step 4: Simplify right side
   74,196x = 27,218,400,400
5. Step 5: Solve for x
   x = 27,218,400,400/74,196
6. Step 6: Final answer
   x = 366,844.58