Finding the Third Proportional to 88,726 and 194,462

Step by Step Solution

1. Step 1: Write the proportion equation
   88,726 : 194,462 = 194,462 : x
2. Step 2: Convert to fraction form
   88,726/194,462 = 194,462/x
3. Step 3: Cross multiply
   88,726x = 194,462 × 194,462
4. Step 4: Simplify right side
   88,726x = 37,815,469,444
5. Step 5: Solve for x
   x = 37,815,469,444/88,726
6. Step 6: Final answer
   x = 426,205.05