Finding the Third Proportional to 42,084 and 89,361

Step by Step Solution

1. Step 1: Write the proportion equation
   42,084 : 89,361 = 89,361 : x
2. Step 2: Convert to fraction form
   42,084/89,361 = 89,361/x
3. Step 3: Cross multiply
   42,084x = 89,361 × 89,361
4. Step 4: Simplify right side
   42,084x = 7,985,388,321
5. Step 5: Solve for x
   x = 7,985,388,321/42,084
6. Step 6: Final answer
   x = 189,748.80