Finding the Third Proportional to 42,158 and 89,510

Step by Step Solution

1. Step 1: Write the proportion equation
   42,158 : 89,510 = 89,510 : x
2. Step 2: Convert to fraction form
   42,158/89,510 = 89,510/x
3. Step 3: Cross multiply
   42,158x = 89,510 × 89,510
4. Step 4: Simplify right side
   42,158x = 8,012,040,100
5. Step 5: Solve for x
   x = 8,012,040,100/42,158
6. Step 6: Final answer
   x = 190,047.92