Finding the Third Proportional to 132,212 and 289,456

Step by Step Solution

1. Step 1: Write the proportion equation
   132,212 : 289,456 = 289,456 : x
2. Step 2: Convert to fraction form
   132,212/289,456 = 289,456/x
3. Step 3: Cross multiply
   132,212x = 289,456 × 289,456
4. Step 4: Simplify right side
   132,212x = 83,784,775,936
5. Step 5: Solve for x
   x = 83,784,775,936/132,212
6. Step 6: Final answer
   x = 633,715.37