Finding the Third Proportional to 174,963 and 264,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,963 : 264,874.50 = 264,874.50 : x
2. Step 2: Convert to fraction form
   174,963/264,874.50 = 264,874.50/x
3. Step 3: Cross multiply
   174,963x = 264,874.50 × 264,874.50
4. Step 4: Simplify right side
   174,963x = 70,158,500,750.25
5. Step 5: Solve for x
   x = 70,158,500,750.25/174,963
6. Step 6: Final answer
   x = 400,990.50