Finding the Third Proportional to 42,094 and 89,378

Step by Step Solution

1. Step 1: Write the proportion equation
   42,094 : 89,378 = 89,378 : x
2. Step 2: Convert to fraction form
   42,094/89,378 = 89,378/x
3. Step 3: Cross multiply
   42,094x = 89,378 × 89,378
4. Step 4: Simplify right side
   42,094x = 7,988,426,884
5. Step 5: Solve for x
   x = 7,988,426,884/42,094
6. Step 6: Final answer
   x = 189,775.90