Finding the Third Proportional to 81,364 and 171,476

Step by Step Solution

1. Step 1: Write the proportion equation
   81,364 : 171,476 = 171,476 : x
2. Step 2: Convert to fraction form
   81,364/171,476 = 171,476/x
3. Step 3: Cross multiply
   81,364x = 171,476 × 171,476
4. Step 4: Simplify right side
   81,364x = 29,404,018,576
5. Step 5: Solve for x
   x = 29,404,018,576/81,364
6. Step 6: Final answer
   x = 361,388.56