Finding the Third Proportional to 165,710 and 259,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,710 : 259,227.50 = 259,227.50 : x
2. Step 2: Convert to fraction form
   165,710/259,227.50 = 259,227.50/x
3. Step 3: Cross multiply
   165,710x = 259,227.50 × 259,227.50
4. Step 4: Simplify right side
   165,710x = 67,198,896,756.25
5. Step 5: Solve for x
   x = 67,198,896,756.25/165,710
6. Step 6: Final answer
   x = 405,521.07