Finding the Third Proportional to 171,997.50 and 265,665

Step by Step Solution

1. Step 1: Write the proportion equation
   171,997.50 : 265,665 = 265,665 : x
2. Step 2: Convert to fraction form
   171,997.50/265,665 = 265,665/x
3. Step 3: Cross multiply
   171,997.50x = 265,665 × 265,665
4. Step 4: Simplify right side
   171,997.50x = 70,577,892,225
5. Step 5: Solve for x
   x = 70,577,892,225/171,997.50
6. Step 6: Final answer
   x = 410,342.55