Finding the Third Proportional to 229,205.50 and 501,006

Step by Step Solution

1. Step 1: Write the proportion equation
   229,205.50 : 501,006 = 501,006 : x
2. Step 2: Convert to fraction form
   229,205.50/501,006 = 501,006/x
3. Step 3: Cross multiply
   229,205.50x = 501,006 × 501,006
4. Step 4: Simplify right side
   229,205.50x = 251,007,012,036
5. Step 5: Solve for x
   x = 251,007,012,036/229,205.50
6. Step 6: Final answer
   x = 1,095,117.75