Finding the Third Proportional to 412,809 and 909,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,809 : 909,421.50 = 909,421.50 : x
2. Step 2: Convert to fraction form
   412,809/909,421.50 = 909,421.50/x
3. Step 3: Cross multiply
   412,809x = 909,421.50 × 909,421.50
4. Step 4: Simplify right side
   412,809x = 827,047,464,662.25
5. Step 5: Solve for x
   x = 827,047,464,662.25/412,809
6. Step 6: Final answer
   x = 2,003,462.77