Finding the Third Proportional to 171,924 and 265,662

Step by Step Solution

1. Step 1: Write the proportion equation
   171,924 : 265,662 = 265,662 : x
2. Step 2: Convert to fraction form
   171,924/265,662 = 265,662/x
3. Step 3: Cross multiply
   171,924x = 265,662 × 265,662
4. Step 4: Simplify right side
   171,924x = 70,576,298,244
5. Step 5: Solve for x
   x = 70,576,298,244/171,924
6. Step 6: Final answer
   x = 410,508.70