Finding the Third Proportional to 505,876 and 762,150

Step by Step Solution

1. Step 1: Write the proportion equation
   505,876 : 762,150 = 762,150 : x
2. Step 2: Convert to fraction form
   505,876/762,150 = 762,150/x
3. Step 3: Cross multiply
   505,876x = 762,150 × 762,150
4. Step 4: Simplify right side
   505,876x = 580,872,622,500
5. Step 5: Solve for x
   x = 580,872,622,500/505,876
6. Step 6: Final answer
   x = 1,148,251.00