Finding the Third Proportional to 90,176 and 193,792

Step by Step Solution

1. Step 1: Write the proportion equation
   90,176 : 193,792 = 193,792 : x
2. Step 2: Convert to fraction form
   90,176/193,792 = 193,792/x
3. Step 3: Cross multiply
   90,176x = 193,792 × 193,792
4. Step 4: Simplify right side
   90,176x = 37,555,339,264
5. Step 5: Solve for x
   x = 37,555,339,264/90,176
6. Step 6: Final answer
   x = 416,467.12