Finding the Third Proportional to 87,128 and 189,008

Step by Step Solution

1. Step 1: Write the proportion equation
   87,128 : 189,008 = 189,008 : x
2. Step 2: Convert to fraction form
   87,128/189,008 = 189,008/x
3. Step 3: Cross multiply
   87,128x = 189,008 × 189,008
4. Step 4: Simplify right side
   87,128x = 35,724,024,064
5. Step 5: Solve for x
   x = 35,724,024,064/87,128
6. Step 6: Final answer
   x = 410,017.72