Finding the Third Proportional to 164,078 and 253,116

Step by Step Solution

1. Step 1: Write the proportion equation
   164,078 : 253,116 = 253,116 : x
2. Step 2: Convert to fraction form
   164,078/253,116 = 253,116/x
3. Step 3: Cross multiply
   164,078x = 253,116 × 253,116
4. Step 4: Simplify right side
   164,078x = 64,067,709,456
5. Step 5: Solve for x
   x = 64,067,709,456/164,078
6. Step 6: Final answer
   x = 390,471.05