Finding the Third Proportional to 202,333 and 443,213

Step by Step Solution

1. Step 1: Write the proportion equation
   202,333 : 443,213 = 443,213 : x
2. Step 2: Convert to fraction form
   202,333/443,213 = 443,213/x
3. Step 3: Cross multiply
   202,333x = 443,213 × 443,213
4. Step 4: Simplify right side
   202,333x = 196,437,763,369
5. Step 5: Solve for x
   x = 196,437,763,369/202,333
6. Step 6: Final answer
   x = 970,863.69