Finding the Third Proportional to 41,819 and 89,953

Step by Step Solution

1. Step 1: Write the proportion equation
   41,819 : 89,953 = 89,953 : x
2. Step 2: Convert to fraction form
   41,819/89,953 = 89,953/x
3. Step 3: Cross multiply
   41,819x = 89,953 × 89,953
4. Step 4: Simplify right side
   41,819x = 8,091,542,209
5. Step 5: Solve for x
   x = 8,091,542,209/41,819
6. Step 6: Final answer
   x = 193,489.61