Finding the Third Proportional to 174,388 and 269,970

Step by Step Solution

1. Step 1: Write the proportion equation
   174,388 : 269,970 = 269,970 : x
2. Step 2: Convert to fraction form
   174,388/269,970 = 269,970/x
3. Step 3: Cross multiply
   174,388x = 269,970 × 269,970
4. Step 4: Simplify right side
   174,388x = 72,883,800,900
5. Step 5: Solve for x
   x = 72,883,800,900/174,388
6. Step 6: Final answer
   x = 417,940.46