Finding the Third Proportional to 83,152 and 182,400

Step by Step Solution

1. Step 1: Write the proportion equation
   83,152 : 182,400 = 182,400 : x
2. Step 2: Convert to fraction form
   83,152/182,400 = 182,400/x
3. Step 3: Cross multiply
   83,152x = 182,400 × 182,400
4. Step 4: Simplify right side
   83,152x = 33,269,760,000
5. Step 5: Solve for x
   x = 33,269,760,000/83,152
6. Step 6: Final answer
   x = 400,107.75