Finding the Third Proportional to 42,153 and 89,493

Step by Step Solution

1. Step 1: Write the proportion equation
   42,153 : 89,493 = 89,493 : x
2. Step 2: Convert to fraction form
   42,153/89,493 = 89,493/x
3. Step 3: Cross multiply
   42,153x = 89,493 × 89,493
4. Step 4: Simplify right side
   42,153x = 8,008,997,049
5. Step 5: Solve for x
   x = 8,008,997,049/42,153
6. Step 6: Final answer
   x = 189,998.27