Finding the Third Proportional to 59,893 and 99,825

Step by Step Solution

1. Step 1: Write the proportion equation
   59,893 : 99,825 = 99,825 : x
2. Step 2: Convert to fraction form
   59,893/99,825 = 99,825/x
3. Step 3: Cross multiply
   59,893x = 99,825 × 99,825
4. Step 4: Simplify right side
   59,893x = 9,965,030,625
5. Step 5: Solve for x
   x = 9,965,030,625/59,893
6. Step 6: Final answer
   x = 166,380.56