Finding the Third Proportional to 412,819 and 909,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,819 : 909,441.50 = 909,441.50 : x
2. Step 2: Convert to fraction form
   412,819/909,441.50 = 909,441.50/x
3. Step 3: Cross multiply
   412,819x = 909,441.50 × 909,441.50
4. Step 4: Simplify right side
   412,819x = 827,083,841,922.25
5. Step 5: Solve for x
   x = 827,083,841,922.25/412,819
6. Step 6: Final answer
   x = 2,003,502.36