Finding the Third Proportional to 174,633 and 381,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,633 : 381,958.50 = 381,958.50 : x
2. Step 2: Convert to fraction form
   174,633/381,958.50 = 381,958.50/x
3. Step 3: Cross multiply
   174,633x = 381,958.50 × 381,958.50
4. Step 4: Simplify right side
   174,633x = 145,892,295,722.25
5. Step 5: Solve for x
   x = 145,892,295,722.25/174,633
6. Step 6: Final answer
   x = 835,422.26