Finding the Third Proportional to 202,534 and 443,191

Step by Step Solution

1. Step 1: Write the proportion equation
   202,534 : 443,191 = 443,191 : x
2. Step 2: Convert to fraction form
   202,534/443,191 = 443,191/x
3. Step 3: Cross multiply
   202,534x = 443,191 × 443,191
4. Step 4: Simplify right side
   202,534x = 196,418,262,481
5. Step 5: Solve for x
   x = 196,418,262,481/202,534
6. Step 6: Final answer
   x = 969,803.90