Finding the Third Proportional to 89,730 and 188,754.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,730 : 188,754.75 = 188,754.75 : x
2. Step 2: Convert to fraction form
   89,730/188,754.75 = 188,754.75/x
3. Step 3: Cross multiply
   89,730x = 188,754.75 × 188,754.75
4. Step 4: Simplify right side
   89,730x = 35,628,355,647.56
5. Step 5: Solve for x
   x = 35,628,355,647.56/89,730
6. Step 6: Final answer
   x = 397,061.80