Finding the Third Proportional to 162,144 and 259,023

Step by Step Solution

1. Step 1: Write the proportion equation
   162,144 : 259,023 = 259,023 : x
2. Step 2: Convert to fraction form
   162,144/259,023 = 259,023/x
3. Step 3: Cross multiply
   162,144x = 259,023 × 259,023
4. Step 4: Simplify right side
   162,144x = 67,092,914,529
5. Step 5: Solve for x
   x = 67,092,914,529/162,144
6. Step 6: Final answer
   x = 413,785.98