Finding the Third Proportional to 214,573 and 315,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,573 : 315,290.50 = 315,290.50 : x
2. Step 2: Convert to fraction form
   214,573/315,290.50 = 315,290.50/x
3. Step 3: Cross multiply
   214,573x = 315,290.50 × 315,290.50
4. Step 4: Simplify right side
   214,573x = 99,408,099,390.25
5. Step 5: Solve for x
   x = 99,408,099,390.25/214,573
6. Step 6: Final answer
   x = 463,283.36