Finding the Third Proportional to 227,782 and 498,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,782 : 498,462.50 = 498,462.50 : x
2. Step 2: Convert to fraction form
   227,782/498,462.50 = 498,462.50/x
3. Step 3: Cross multiply
   227,782x = 498,462.50 × 498,462.50
4. Step 4: Simplify right side
   227,782x = 248,464,863,906.25
5. Step 5: Solve for x
   x = 248,464,863,906.25/227,782
6. Step 6: Final answer
   x = 1,090,801.13