Finding the Third Proportional to 83,588 and 181,054

Step by Step Solution

1. Step 1: Write the proportion equation
   83,588 : 181,054 = 181,054 : x
2. Step 2: Convert to fraction form
   83,588/181,054 = 181,054/x
3. Step 3: Cross multiply
   83,588x = 181,054 × 181,054
4. Step 4: Simplify right side
   83,588x = 32,780,550,916
5. Step 5: Solve for x
   x = 32,780,550,916/83,588
6. Step 6: Final answer
   x = 392,168.15