Finding the Third Proportional to 212,871 and 317,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,871 : 317,461.50 = 317,461.50 : x
2. Step 2: Convert to fraction form
   212,871/317,461.50 = 317,461.50/x
3. Step 3: Cross multiply
   212,871x = 317,461.50 × 317,461.50
4. Step 4: Simplify right side
   212,871x = 100,781,803,982.25
5. Step 5: Solve for x
   x = 100,781,803,982.25/212,871
6. Step 6: Final answer
   x = 473,440.74