Finding the Third Proportional to 188,518.50 and 410,205

Step by Step Solution

1. Step 1: Write the proportion equation
   188,518.50 : 410,205 = 410,205 : x
2. Step 2: Convert to fraction form
   188,518.50/410,205 = 410,205/x
3. Step 3: Cross multiply
   188,518.50x = 410,205 × 410,205
4. Step 4: Simplify right side
   188,518.50x = 168,268,142,025
5. Step 5: Solve for x
   x = 168,268,142,025/188,518.50
6. Step 6: Final answer
   x = 892,581.59