Finding the Third Proportional to 174,966 and 383,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,966 : 383,830.50 = 383,830.50 : x
2. Step 2: Convert to fraction form
   174,966/383,830.50 = 383,830.50/x
3. Step 3: Cross multiply
   174,966x = 383,830.50 × 383,830.50
4. Step 4: Simplify right side
   174,966x = 147,325,852,730.25
5. Step 5: Solve for x
   x = 147,325,852,730.25/174,966
6. Step 6: Final answer
   x = 842,025.61