Finding the Third Proportional to 505,856 and 762,123

Step by Step Solution

1. Step 1: Write the proportion equation
   505,856 : 762,123 = 762,123 : x
2. Step 2: Convert to fraction form
   505,856/762,123 = 762,123/x
3. Step 3: Cross multiply
   505,856x = 762,123 × 762,123
4. Step 4: Simplify right side
   505,856x = 580,831,467,129
5. Step 5: Solve for x
   x = 580,831,467,129/505,856
6. Step 6: Final answer
   x = 1,148,215.04