Finding the Third Proportional to 165,692 and 259,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,692 : 259,199.50 = 259,199.50 : x
2. Step 2: Convert to fraction form
   165,692/259,199.50 = 259,199.50/x
3. Step 3: Cross multiply
   165,692x = 259,199.50 × 259,199.50
4. Step 4: Simplify right side
   165,692x = 67,184,380,800.25
5. Step 5: Solve for x
   x = 67,184,380,800.25/165,692
6. Step 6: Final answer
   x = 405,477.52