Finding the Third Proportional to 196,922 and 433,208

Step by Step Solution

1. Step 1: Write the proportion equation
   196,922 : 433,208 = 433,208 : x
2. Step 2: Convert to fraction form
   196,922/433,208 = 433,208/x
3. Step 3: Cross multiply
   196,922x = 433,208 × 433,208
4. Step 4: Simplify right side
   196,922x = 187,669,171,264
5. Step 5: Solve for x
   x = 187,669,171,264/196,922
6. Step 6: Final answer
   x = 953,012.72