Finding the Third Proportional to 89,738 and 188,764

Step by Step Solution

1. Step 1: Write the proportion equation
   89,738 : 188,764 = 188,764 : x
2. Step 2: Convert to fraction form
   89,738/188,764 = 188,764/x
3. Step 3: Cross multiply
   89,738x = 188,764 × 188,764
4. Step 4: Simplify right side
   89,738x = 35,631,847,696
5. Step 5: Solve for x
   x = 35,631,847,696/89,738
6. Step 6: Final answer
   x = 397,065.32