Finding the Third Proportional to 681,729 and 1,009,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   681,729 : 1,009,469.50 = 1,009,469.50 : x
2. Step 2: Convert to fraction form
   681,729/1,009,469.50 = 1,009,469.50/x
3. Step 3: Cross multiply
   681,729x = 1,009,469.50 × 1,009,469.50
4. Step 4: Simplify right side
   681,729x = 1,019,028,671,430.25
5. Step 5: Solve for x
   x = 1,019,028,671,430.25/681,729
6. Step 6: Final answer
   x = 1,494,770.90