Finding the Third Proportional to 213,487 and 309,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,487 : 309,214.50 = 309,214.50 : x
2. Step 2: Convert to fraction form
   213,487/309,214.50 = 309,214.50/x
3. Step 3: Cross multiply
   213,487x = 309,214.50 × 309,214.50
4. Step 4: Simplify right side
   213,487x = 95,613,607,010.25
5. Step 5: Solve for x
   x = 95,613,607,010.25/213,487
6. Step 6: Final answer
   x = 447,866.18