Finding the Third Proportional to 87,468 and 188,328

Step by Step Solution

1. Step 1: Write the proportion equation
   87,468 : 188,328 = 188,328 : x
2. Step 2: Convert to fraction form
   87,468/188,328 = 188,328/x
3. Step 3: Cross multiply
   87,468x = 188,328 × 188,328
4. Step 4: Simplify right side
   87,468x = 35,467,435,584
5. Step 5: Solve for x
   x = 35,467,435,584/87,468
6. Step 6: Final answer
   x = 405,490.41