Finding the Third Proportional to 174,460.50 and 261,684

Step by Step Solution

1. Step 1: Write the proportion equation
   174,460.50 : 261,684 = 261,684 : x
2. Step 2: Convert to fraction form
   174,460.50/261,684 = 261,684/x
3. Step 3: Cross multiply
   174,460.50x = 261,684 × 261,684
4. Step 4: Simplify right side
   174,460.50x = 68,478,515,856
5. Step 5: Solve for x
   x = 68,478,515,856/174,460.50
6. Step 6: Final answer
   x = 392,515.88