Finding the Third Proportional to 174,172 and 260,582

Step by Step Solution

1. Step 1: Write the proportion equation
   174,172 : 260,582 = 260,582 : x
2. Step 2: Convert to fraction form
   174,172/260,582 = 260,582/x
3. Step 3: Cross multiply
   174,172x = 260,582 × 260,582
4. Step 4: Simplify right side
   174,172x = 67,902,978,724
5. Step 5: Solve for x
   x = 67,902,978,724/174,172
6. Step 6: Final answer
   x = 389,861.62