Finding the Third Proportional to 93,461 and 205,016

Step by Step Solution

1. Step 1: Write the proportion equation
   93,461 : 205,016 = 205,016 : x
2. Step 2: Convert to fraction form
   93,461/205,016 = 205,016/x
3. Step 3: Cross multiply
   93,461x = 205,016 × 205,016
4. Step 4: Simplify right side
   93,461x = 42,031,560,256
5. Step 5: Solve for x
   x = 42,031,560,256/93,461
6. Step 6: Final answer
   x = 449,722.99