Finding the Third Proportional to 200,808 and 422,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,808 : 422,323.50 = 422,323.50 : x
2. Step 2: Convert to fraction form
   200,808/422,323.50 = 422,323.50/x
3. Step 3: Cross multiply
   200,808x = 422,323.50 × 422,323.50
4. Step 4: Simplify right side
   200,808x = 178,357,138,652.25
5. Step 5: Solve for x
   x = 178,357,138,652.25/200,808
6. Step 6: Final answer
   x = 888,197.38