Finding the Third Proportional to 87,658 and 188,456

Step by Step Solution

1. Step 1: Write the proportion equation
   87,658 : 188,456 = 188,456 : x
2. Step 2: Convert to fraction form
   87,658/188,456 = 188,456/x
3. Step 3: Cross multiply
   87,658x = 188,456 × 188,456
4. Step 4: Simplify right side
   87,658x = 35,515,663,936
5. Step 5: Solve for x
   x = 35,515,663,936/87,658
6. Step 6: Final answer
   x = 405,161.70