Finding the Third Proportional to 165,766.50 and 262,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,766.50 : 262,885.50 = 262,885.50 : x
2. Step 2: Convert to fraction form
   165,766.50/262,885.50 = 262,885.50/x
3. Step 3: Cross multiply
   165,766.50x = 262,885.50 × 262,885.50
4. Step 4: Simplify right side
   165,766.50x = 69,108,786,110.25
5. Step 5: Solve for x
   x = 69,108,786,110.25/165,766.50
6. Step 6: Final answer
   x = 416,904.42