Finding the Third Proportional to 225,864 and 491,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,864 : 491,092.50 = 491,092.50 : x
2. Step 2: Convert to fraction form
   225,864/491,092.50 = 491,092.50/x
3. Step 3: Cross multiply
   225,864x = 491,092.50 × 491,092.50
4. Step 4: Simplify right side
   225,864x = 241,171,843,556.25
5. Step 5: Solve for x
   x = 241,171,843,556.25/225,864
6. Step 6: Final answer
   x = 1,067,774.61