Finding the Third Proportional to 174,212 and 381,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,212 : 381,638.50 = 381,638.50 : x
2. Step 2: Convert to fraction form
   174,212/381,638.50 = 381,638.50/x
3. Step 3: Cross multiply
   174,212x = 381,638.50 × 381,638.50
4. Step 4: Simplify right side
   174,212x = 145,647,944,682.25
5. Step 5: Solve for x
   x = 145,647,944,682.25/174,212
6. Step 6: Final answer
   x = 836,038.53