Finding the Third Proportional to 171,876 and 265,590

Step by Step Solution

1. Step 1: Write the proportion equation
   171,876 : 265,590 = 265,590 : x
2. Step 2: Convert to fraction form
   171,876/265,590 = 265,590/x
3. Step 3: Cross multiply
   171,876x = 265,590 × 265,590
4. Step 4: Simplify right side
   171,876x = 70,538,048,100
5. Step 5: Solve for x
   x = 70,538,048,100/171,876
6. Step 6: Final answer
   x = 410,400.80