Finding the Third Proportional to 212,847 and 317,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,847 : 317,425.50 = 317,425.50 : x
2. Step 2: Convert to fraction form
   212,847/317,425.50 = 317,425.50/x
3. Step 3: Cross multiply
   212,847x = 317,425.50 × 317,425.50
4. Step 4: Simplify right side
   212,847x = 100,758,948,050.25
5. Step 5: Solve for x
   x = 100,758,948,050.25/212,847
6. Step 6: Final answer
   x = 473,386.74