Finding the Third Proportional to 585,123 and 873,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   585,123 : 873,856.50 = 873,856.50 : x
2. Step 2: Convert to fraction form
   585,123/873,856.50 = 873,856.50/x
3. Step 3: Cross multiply
   585,123x = 873,856.50 × 873,856.50
4. Step 4: Simplify right side
   585,123x = 763,625,182,592.25
5. Step 5: Solve for x
   x = 763,625,182,592.25/585,123
6. Step 6: Final answer
   x = 1,305,067.79