Finding the Third Proportional to 214,086 and 506,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,086 : 506,296.50 = 506,296.50 : x
2. Step 2: Convert to fraction form
   214,086/506,296.50 = 506,296.50/x
3. Step 3: Cross multiply
   214,086x = 506,296.50 × 506,296.50
4. Step 4: Simplify right side
   214,086x = 256,336,145,912.25
5. Step 5: Solve for x
   x = 256,336,145,912.25/214,086
6. Step 6: Final answer
   x = 1,197,351.28