Finding the Third Proportional to 83,344 and 132,398

Step by Step Solution

1. Step 1: Write the proportion equation
   83,344 : 132,398 = 132,398 : x
2. Step 2: Convert to fraction form
   83,344/132,398 = 132,398/x
3. Step 3: Cross multiply
   83,344x = 132,398 × 132,398
4. Step 4: Simplify right side
   83,344x = 17,529,230,404
5. Step 5: Solve for x
   x = 17,529,230,404/83,344
6. Step 6: Final answer
   x = 210,323.84