Finding the Third Proportional to 89,752 and 188,972

Step by Step Solution

1. Step 1: Write the proportion equation
   89,752 : 188,972 = 188,972 : x
2. Step 2: Convert to fraction form
   89,752/188,972 = 188,972/x
3. Step 3: Cross multiply
   89,752x = 188,972 × 188,972
4. Step 4: Simplify right side
   89,752x = 35,710,416,784
5. Step 5: Solve for x
   x = 35,710,416,784/89,752
6. Step 6: Final answer
   x = 397,878.79