Finding the Third Proportional to 96,266 and 205,003

Step by Step Solution

1. Step 1: Write the proportion equation
   96,266 : 205,003 = 205,003 : x
2. Step 2: Convert to fraction form
   96,266/205,003 = 205,003/x
3. Step 3: Cross multiply
   96,266x = 205,003 × 205,003
4. Step 4: Simplify right side
   96,266x = 42,026,230,009
5. Step 5: Solve for x
   x = 42,026,230,009/96,266
6. Step 6: Final answer
   x = 436,563.58