Finding the Third Proportional to 41,322 and 89,646

Step by Step Solution

1. Step 1: Write the proportion equation
   41,322 : 89,646 = 89,646 : x
2. Step 2: Convert to fraction form
   41,322/89,646 = 89,646/x
3. Step 3: Cross multiply
   41,322x = 89,646 × 89,646
4. Step 4: Simplify right side
   41,322x = 8,036,405,316
5. Step 5: Solve for x
   x = 8,036,405,316/41,322
6. Step 6: Final answer
   x = 194,482.49