Finding the Third Proportional to 89,566.50 and 188,852.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,566.50 : 188,852.25 = 188,852.25 : x
2. Step 2: Convert to fraction form
   89,566.50/188,852.25 = 188,852.25/x
3. Step 3: Cross multiply
   89,566.50x = 188,852.25 × 188,852.25
4. Step 4: Simplify right side
   89,566.50x = 35,665,172,330.06
5. Step 5: Solve for x
   x = 35,665,172,330.06/89,566.50
6. Step 6: Final answer
   x = 398,197.68