Finding the Third Proportional to 165,534.75 and 262,296

Step by Step Solution

1. Step 1: Write the proportion equation
   165,534.75 : 262,296 = 262,296 : x
2. Step 2: Convert to fraction form
   165,534.75/262,296 = 262,296/x
3. Step 3: Cross multiply
   165,534.75x = 262,296 × 262,296
4. Step 4: Simplify right side
   165,534.75x = 68,799,191,616
5. Step 5: Solve for x
   x = 68,799,191,616/165,534.75
6. Step 6: Final answer
   x = 415,617.82