Finding the Third Proportional to 213,417 and 309,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,417 : 309,109.50 = 309,109.50 : x
2. Step 2: Convert to fraction form
   213,417/309,109.50 = 309,109.50/x
3. Step 3: Cross multiply
   213,417x = 309,109.50 × 309,109.50
4. Step 4: Simplify right side
   213,417x = 95,548,682,990.25
5. Step 5: Solve for x
   x = 95,548,682,990.25/213,417
6. Step 6: Final answer
   x = 447,708.87