Finding the Third Proportional to 94,225 and 205,096

Step by Step Solution

1. Step 1: Write the proportion equation
   94,225 : 205,096 = 205,096 : x
2. Step 2: Convert to fraction form
   94,225/205,096 = 205,096/x
3. Step 3: Cross multiply
   94,225x = 205,096 × 205,096
4. Step 4: Simplify right side
   94,225x = 42,064,369,216
5. Step 5: Solve for x
   x = 42,064,369,216/94,225
6. Step 6: Final answer
   x = 446,424.72