Finding the Third Proportional to 174,411 and 261,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,411 : 261,616.50 = 261,616.50 : x
2. Step 2: Convert to fraction form
   174,411/261,616.50 = 261,616.50/x
3. Step 3: Cross multiply
   174,411x = 261,616.50 × 261,616.50
4. Step 4: Simplify right side
   174,411x = 68,443,193,072.25
5. Step 5: Solve for x
   x = 68,443,193,072.25/174,411
6. Step 6: Final answer
   x = 392,424.75