Finding the Third Proportional to 461,991 and 691,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   461,991 : 691,099.50 = 691,099.50 : x
2. Step 2: Convert to fraction form
   461,991/691,099.50 = 691,099.50/x
3. Step 3: Cross multiply
   461,991x = 691,099.50 × 691,099.50
4. Step 4: Simplify right side
   461,991x = 477,618,518,900.25
5. Step 5: Solve for x
   x = 477,618,518,900.25/461,991
6. Step 6: Final answer
   x = 1,033,826.46