Finding the Third Proportional to 584,355 and 913,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   584,355 : 913,459.50 = 913,459.50 : x
2. Step 2: Convert to fraction form
   584,355/913,459.50 = 913,459.50/x
3. Step 3: Cross multiply
   584,355x = 913,459.50 × 913,459.50
4. Step 4: Simplify right side
   584,355x = 834,408,258,140.25
5. Step 5: Solve for x
   x = 834,408,258,140.25/584,355
6. Step 6: Final answer
   x = 1,427,913.27