Finding the Third Proportional to 188,523 and 396,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,523 : 396,436.50 = 396,436.50 : x
2. Step 2: Convert to fraction form
   188,523/396,436.50 = 396,436.50/x
3. Step 3: Cross multiply
   188,523x = 396,436.50 × 396,436.50
4. Step 4: Simplify right side
   188,523x = 157,161,898,532.25
5. Step 5: Solve for x
   x = 157,161,898,532.25/188,523
6. Step 6: Final answer
   x = 833,648.41