Finding the Third Proportional to 94,416 and 206,004

Step by Step Solution

1. Step 1: Write the proportion equation
   94,416 : 206,004 = 206,004 : x
2. Step 2: Convert to fraction form
   94,416/206,004 = 206,004/x
3. Step 3: Cross multiply
   94,416x = 206,004 × 206,004
4. Step 4: Simplify right side
   94,416x = 42,437,648,016
5. Step 5: Solve for x
   x = 42,437,648,016/94,416
6. Step 6: Final answer
   x = 449,475.17