Finding the Third Proportional to 253,826 and 380,789

Step by Step Solution

1. Step 1: Write the proportion equation
   253,826 : 380,789 = 380,789 : x
2. Step 2: Convert to fraction form
   253,826/380,789 = 380,789/x
3. Step 3: Cross multiply
   253,826x = 380,789 × 380,789
4. Step 4: Simplify right side
   253,826x = 145,000,262,521
5. Step 5: Solve for x
   x = 145,000,262,521/253,826
6. Step 6: Final answer
   x = 571,258.51