Finding the Third Proportional to 165,579 and 262,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,579 : 262,300.50 = 262,300.50 : x
2. Step 2: Convert to fraction form
   165,579/262,300.50 = 262,300.50/x
3. Step 3: Cross multiply
   165,579x = 262,300.50 × 262,300.50
4. Step 4: Simplify right side
   165,579x = 68,801,552,300.25
5. Step 5: Solve for x
   x = 68,801,552,300.25/165,579
6. Step 6: Final answer
   x = 415,521.00