Finding the Third Proportional to 82,677 and 179,088

Step by Step Solution

1. Step 1: Write the proportion equation
   82,677 : 179,088 = 179,088 : x
2. Step 2: Convert to fraction form
   82,677/179,088 = 179,088/x
3. Step 3: Cross multiply
   82,677x = 179,088 × 179,088
4. Step 4: Simplify right side
   82,677x = 32,072,511,744
5. Step 5: Solve for x
   x = 32,072,511,744/82,677
6. Step 6: Final answer
   x = 387,925.44