Finding the Third Proportional to 171,996 and 265,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,996 : 265,662.50 = 265,662.50 : x
2. Step 2: Convert to fraction form
   171,996/265,662.50 = 265,662.50/x
3. Step 3: Cross multiply
   171,996x = 265,662.50 × 265,662.50
4. Step 4: Simplify right side
   171,996x = 70,576,563,906.25
5. Step 5: Solve for x
   x = 70,576,563,906.25/171,996
6. Step 6: Final answer
   x = 410,338.40