Finding the Third Proportional to 229,189.50 and 510,867

Step by Step Solution

1. Step 1: Write the proportion equation
   229,189.50 : 510,867 = 510,867 : x
2. Step 2: Convert to fraction form
   229,189.50/510,867 = 510,867/x
3. Step 3: Cross multiply
   229,189.50x = 510,867 × 510,867
4. Step 4: Simplify right side
   229,189.50x = 260,985,091,689
5. Step 5: Solve for x
   x = 260,985,091,689/229,189.50
6. Step 6: Final answer
   x = 1,138,730.58