Finding the Third Proportional to 174,636 and 381,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,636 : 381,964.50 = 381,964.50 : x
2. Step 2: Convert to fraction form
   174,636/381,964.50 = 381,964.50/x
3. Step 3: Cross multiply
   174,636x = 381,964.50 × 381,964.50
4. Step 4: Simplify right side
   174,636x = 145,896,879,260.25
5. Step 5: Solve for x
   x = 145,896,879,260.25/174,636
6. Step 6: Final answer
   x = 835,434.16