Finding the Third Proportional to 79,088 and 172,766

Step by Step Solution

1. Step 1: Write the proportion equation
   79,088 : 172,766 = 172,766 : x
2. Step 2: Convert to fraction form
   79,088/172,766 = 172,766/x
3. Step 3: Cross multiply
   79,088x = 172,766 × 172,766
4. Step 4: Simplify right side
   79,088x = 29,848,090,756
5. Step 5: Solve for x
   x = 29,848,090,756/79,088
6. Step 6: Final answer
   x = 377,403.53