Finding the Third Proportional to 171,926 and 265,665

Step by Step Solution

1. Step 1: Write the proportion equation
   171,926 : 265,665 = 265,665 : x
2. Step 2: Convert to fraction form
   171,926/265,665 = 265,665/x
3. Step 3: Cross multiply
   171,926x = 265,665 × 265,665
4. Step 4: Simplify right side
   171,926x = 70,577,892,225
5. Step 5: Solve for x
   x = 70,577,892,225/171,926
6. Step 6: Final answer
   x = 410,513.20