Finding the Third Proportional to 171,308 and 261,007

Step by Step Solution

1. Step 1: Write the proportion equation
   171,308 : 261,007 = 261,007 : x
2. Step 2: Convert to fraction form
   171,308/261,007 = 261,007/x
3. Step 3: Cross multiply
   171,308x = 261,007 × 261,007
4. Step 4: Simplify right side
   171,308x = 68,124,654,049
5. Step 5: Solve for x
   x = 68,124,654,049/171,308
6. Step 6: Final answer
   x = 397,673.51