Finding the Third Proportional to 201,504 and 422,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,504 : 422,353.50 = 422,353.50 : x
2. Step 2: Convert to fraction form
   201,504/422,353.50 = 422,353.50/x
3. Step 3: Cross multiply
   201,504x = 422,353.50 × 422,353.50
4. Step 4: Simplify right side
   201,504x = 178,382,478,962.25
5. Step 5: Solve for x
   x = 178,382,478,962.25/201,504
6. Step 6: Final answer
   x = 885,255.28