Finding the Third Proportional to 89,733 and 188,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,733 : 188,761.50 = 188,761.50 : x
2. Step 2: Convert to fraction form
   89,733/188,761.50 = 188,761.50/x
3. Step 3: Cross multiply
   89,733x = 188,761.50 × 188,761.50
4. Step 4: Simplify right side
   89,733x = 35,630,903,882.25
5. Step 5: Solve for x
   x = 35,630,903,882.25/89,733
6. Step 6: Final answer
   x = 397,076.93