Finding the Third Proportional to 42,151 and 89,489

Step by Step Solution

1. Step 1: Write the proportion equation
   42,151 : 89,489 = 89,489 : x
2. Step 2: Convert to fraction form
   42,151/89,489 = 89,489/x
3. Step 3: Cross multiply
   42,151x = 89,489 × 89,489
4. Step 4: Simplify right side
   42,151x = 8,008,281,121
5. Step 5: Solve for x
   x = 8,008,281,121/42,151
6. Step 6: Final answer
   x = 189,990.30