Finding the Third Proportional to 83,274 and 179,844

Step by Step Solution

1. Step 1: Write the proportion equation
   83,274 : 179,844 = 179,844 : x
2. Step 2: Convert to fraction form
   83,274/179,844 = 179,844/x
3. Step 3: Cross multiply
   83,274x = 179,844 × 179,844
4. Step 4: Simplify right side
   83,274x = 32,343,864,336
5. Step 5: Solve for x
   x = 32,343,864,336/83,274
6. Step 6: Final answer
   x = 388,402.91