Finding the Third Proportional to 589,097.25 and 900,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   589,097.25 : 900,778.50 = 900,778.50 : x
2. Step 2: Convert to fraction form
   589,097.25/900,778.50 = 900,778.50/x
3. Step 3: Cross multiply
   589,097.25x = 900,778.50 × 900,778.50
4. Step 4: Simplify right side
   589,097.25x = 811,401,906,062.25
5. Step 5: Solve for x
   x = 811,401,906,062.25/589,097.25
6. Step 6: Final answer
   x = 1,377,364.95