Finding the Third Proportional to 214,809 and 470,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,809 : 470,932.50 = 470,932.50 : x
2. Step 2: Convert to fraction form
   214,809/470,932.50 = 470,932.50/x
3. Step 3: Cross multiply
   214,809x = 470,932.50 × 470,932.50
4. Step 4: Simplify right side
   214,809x = 221,777,419,556.25
5. Step 5: Solve for x
   x = 221,777,419,556.25/214,809
6. Step 6: Final answer
   x = 1,032,440.07