Finding the Third Proportional to 88,673 and 194,578

Step by Step Solution

1. Step 1: Write the proportion equation
   88,673 : 194,578 = 194,578 : x
2. Step 2: Convert to fraction form
   88,673/194,578 = 194,578/x
3. Step 3: Cross multiply
   88,673x = 194,578 × 194,578
4. Step 4: Simplify right side
   88,673x = 37,860,598,084
5. Step 5: Solve for x
   x = 37,860,598,084/88,673
6. Step 6: Final answer
   x = 426,968.73