Finding the Third Proportional to 412,821 and 909,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,821 : 909,445.50 = 909,445.50 : x
2. Step 2: Convert to fraction form
   412,821/909,445.50 = 909,445.50/x
3. Step 3: Cross multiply
   412,821x = 909,445.50 × 909,445.50
4. Step 4: Simplify right side
   412,821x = 827,091,117,470.25
5. Step 5: Solve for x
   x = 827,091,117,470.25/412,821
6. Step 6: Final answer
   x = 2,003,510.28