Finding the Third Proportional to 585,526 and 878,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   585,526 : 878,296.50 = 878,296.50 : x
2. Step 2: Convert to fraction form
   585,526/878,296.50 = 878,296.50/x
3. Step 3: Cross multiply
   585,526x = 878,296.50 × 878,296.50
4. Step 4: Simplify right side
   585,526x = 771,404,741,912.25
5. Step 5: Solve for x
   x = 771,404,741,912.25/585,526
6. Step 6: Final answer
   x = 1,317,456.00