Finding the Third Proportional to 214,530 and 465,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,530 : 465,964.50 = 465,964.50 : x
2. Step 2: Convert to fraction form
   214,530/465,964.50 = 465,964.50/x
3. Step 3: Cross multiply
   214,530x = 465,964.50 × 465,964.50
4. Step 4: Simplify right side
   214,530x = 217,122,915,260.25
5. Step 5: Solve for x
   x = 217,122,915,260.25/214,530
6. Step 6: Final answer
   x = 1,012,086.49