Finding the Third Proportional to 164,632 and 253,789

Step by Step Solution

1. Step 1: Write the proportion equation
   164,632 : 253,789 = 253,789 : x
2. Step 2: Convert to fraction form
   164,632/253,789 = 253,789/x
3. Step 3: Cross multiply
   164,632x = 253,789 × 253,789
4. Step 4: Simplify right side
   164,632x = 64,408,856,521
5. Step 5: Solve for x
   x = 64,408,856,521/164,632
6. Step 6: Final answer
   x = 391,229.27