Finding the Third Proportional to 113,364 and 171,321

Step by Step Solution

1. Step 1: Write the proportion equation
   113,364 : 171,321 = 171,321 : x
2. Step 2: Convert to fraction form
   113,364/171,321 = 171,321/x
3. Step 3: Cross multiply
   113,364x = 171,321 × 171,321
4. Step 4: Simplify right side
   113,364x = 29,350,885,041
5. Step 5: Solve for x
   x = 29,350,885,041/113,364
6. Step 6: Final answer
   x = 258,908.34