Finding the Third Proportional to 89,454 and 182,792

Step by Step Solution

1. Step 1: Write the proportion equation
   89,454 : 182,792 = 182,792 : x
2. Step 2: Convert to fraction form
   89,454/182,792 = 182,792/x
3. Step 3: Cross multiply
   89,454x = 182,792 × 182,792
4. Step 4: Simplify right side
   89,454x = 33,412,915,264
5. Step 5: Solve for x
   x = 33,412,915,264/89,454
6. Step 6: Final answer
   x = 373,520.64