Finding the Third Proportional to 214,413 and 470,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,413 : 470,824.50 = 470,824.50 : x
2. Step 2: Convert to fraction form
   214,413/470,824.50 = 470,824.50/x
3. Step 3: Cross multiply
   214,413x = 470,824.50 × 470,824.50
4. Step 4: Simplify right side
   214,413x = 221,675,709,800.25
5. Step 5: Solve for x
   x = 221,675,709,800.25/214,413
6. Step 6: Final answer
   x = 1,033,872.53