Finding the Third Proportional to 87,856 and 188,102

Step by Step Solution

1. Step 1: Write the proportion equation
   87,856 : 188,102 = 188,102 : x
2. Step 2: Convert to fraction form
   87,856/188,102 = 188,102/x
3. Step 3: Cross multiply
   87,856x = 188,102 × 188,102
4. Step 4: Simplify right side
   87,856x = 35,382,362,404
5. Step 5: Solve for x
   x = 35,382,362,404/87,856
6. Step 6: Final answer
   x = 402,731.31