Finding the Third Proportional to 89,590 and 188,374

Step by Step Solution

1. Step 1: Write the proportion equation
   89,590 : 188,374 = 188,374 : x
2. Step 2: Convert to fraction form
   89,590/188,374 = 188,374/x
3. Step 3: Cross multiply
   89,590x = 188,374 × 188,374
4. Step 4: Simplify right side
   89,590x = 35,484,763,876
5. Step 5: Solve for x
   x = 35,484,763,876/89,590
6. Step 6: Final answer
   x = 396,079.52