Finding the Third Proportional to 88,668 and 194,562

Step by Step Solution

1. Step 1: Write the proportion equation
   88,668 : 194,562 = 194,562 : x
2. Step 2: Convert to fraction form
   88,668/194,562 = 194,562/x
3. Step 3: Cross multiply
   88,668x = 194,562 × 194,562
4. Step 4: Simplify right side
   88,668x = 37,854,371,844
5. Step 5: Solve for x
   x = 37,854,371,844/88,668
6. Step 6: Final answer
   x = 426,922.59