Finding the Third Proportional to 41,658 and 89,877

Step by Step Solution

1. Step 1: Write the proportion equation
   41,658 : 89,877 = 89,877 : x
2. Step 2: Convert to fraction form
   41,658/89,877 = 89,877/x
3. Step 3: Cross multiply
   41,658x = 89,877 × 89,877
4. Step 4: Simplify right side
   41,658x = 8,077,875,129
5. Step 5: Solve for x
   x = 8,077,875,129/41,658
6. Step 6: Final answer
   x = 193,909.34