Finding the Third Proportional to 113,674.50 and 172,089

Step by Step Solution

1. Step 1: Write the proportion equation
   113,674.50 : 172,089 = 172,089 : x
2. Step 2: Convert to fraction form
   113,674.50/172,089 = 172,089/x
3. Step 3: Cross multiply
   113,674.50x = 172,089 × 172,089
4. Step 4: Simplify right side
   113,674.50x = 29,614,623,921
5. Step 5: Solve for x
   x = 29,614,623,921/113,674.50
6. Step 6: Final answer
   x = 260,521.26