Finding the Third Proportional to 41,322 and 89,511

Step by Step Solution

1. Step 1: Write the proportion equation
   41,322 : 89,511 = 89,511 : x
2. Step 2: Convert to fraction form
   41,322/89,511 = 89,511/x
3. Step 3: Cross multiply
   41,322x = 89,511 × 89,511
4. Step 4: Simplify right side
   41,322x = 8,012,219,121
5. Step 5: Solve for x
   x = 8,012,219,121/41,322
6. Step 6: Final answer
   x = 193,897.18