Finding the Third Proportional to 89,553.75 and 188,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,553.75 : 188,323.50 = 188,323.50 : x
2. Step 2: Convert to fraction form
   89,553.75/188,323.50 = 188,323.50/x
3. Step 3: Cross multiply
   89,553.75x = 188,323.50 × 188,323.50
4. Step 4: Simplify right side
   89,553.75x = 35,465,740,652.25
5. Step 5: Solve for x
   x = 35,465,740,652.25/89,553.75
6. Step 6: Final answer
   x = 396,027.42