Finding the Third Proportional to 188,523 and 410,213.25

Step by Step Solution

1. Step 1: Write the proportion equation
   188,523 : 410,213.25 = 410,213.25 : x
2. Step 2: Convert to fraction form
   188,523/410,213.25 = 410,213.25/x
3. Step 3: Cross multiply
   188,523x = 410,213.25 × 410,213.25
4. Step 4: Simplify right side
   188,523x = 168,274,910,475.56
5. Step 5: Solve for x
   x = 168,274,910,475.56/188,523
6. Step 6: Final answer
   x = 892,596.18