Finding the Third Proportional to 174,960 and 264,870

Step by Step Solution

1. Step 1: Write the proportion equation
   174,960 : 264,870 = 264,870 : x
2. Step 2: Convert to fraction form
   174,960/264,870 = 264,870/x
3. Step 3: Cross multiply
   174,960x = 264,870 × 264,870
4. Step 4: Simplify right side
   174,960x = 70,156,116,900
5. Step 5: Solve for x
   x = 70,156,116,900/174,960
6. Step 6: Final answer
   x = 400,983.75