Finding the Third Proportional to 171,916 and 265,650

Step by Step Solution

1. Step 1: Write the proportion equation
   171,916 : 265,650 = 265,650 : x
2. Step 2: Convert to fraction form
   171,916/265,650 = 265,650/x
3. Step 3: Cross multiply
   171,916x = 265,650 × 265,650
4. Step 4: Simplify right side
   171,916x = 70,569,922,500
5. Step 5: Solve for x
   x = 70,569,922,500/171,916
6. Step 6: Final answer
   x = 410,490.72