Finding the Third Proportional to 83,308 and 179,738

Step by Step Solution

1. Step 1: Write the proportion equation
   83,308 : 179,738 = 179,738 : x
2. Step 2: Convert to fraction form
   83,308/179,738 = 179,738/x
3. Step 3: Cross multiply
   83,308x = 179,738 × 179,738
4. Step 4: Simplify right side
   83,308x = 32,305,748,644
5. Step 5: Solve for x
   x = 32,305,748,644/83,308
6. Step 6: Final answer
   x = 387,786.87