Finding the Third Proportional to 202,506 and 443,144

Step by Step Solution

1. Step 1: Write the proportion equation
   202,506 : 443,144 = 443,144 : x
2. Step 2: Convert to fraction form
   202,506/443,144 = 443,144/x
3. Step 3: Cross multiply
   202,506x = 443,144 × 443,144
4. Step 4: Simplify right side
   202,506x = 196,376,604,736
5. Step 5: Solve for x
   x = 196,376,604,736/202,506
6. Step 6: Final answer
   x = 969,732.28