Finding the Third Proportional to 412,830 and 909,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,830 : 909,466.50 = 909,466.50 : x
2. Step 2: Convert to fraction form
   412,830/909,466.50 = 909,466.50/x
3. Step 3: Cross multiply
   412,830x = 909,466.50 × 909,466.50
4. Step 4: Simplify right side
   412,830x = 827,129,314,622.25
5. Step 5: Solve for x
   x = 827,129,314,622.25/412,830
6. Step 6: Final answer
   x = 2,003,559.13