Finding the Third Proportional to 82,118 and 177,054

Step by Step Solution

1. Step 1: Write the proportion equation
   82,118 : 177,054 = 177,054 : x
2. Step 2: Convert to fraction form
   82,118/177,054 = 177,054/x
3. Step 3: Cross multiply
   82,118x = 177,054 × 177,054
4. Step 4: Simplify right side
   82,118x = 31,348,118,916
5. Step 5: Solve for x
   x = 31,348,118,916/82,118
6. Step 6: Final answer
   x = 381,744.79