Finding the Third Proportional to 200,691 and 275,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   200,691 : 275,196.75 = 275,196.75 : x
2. Step 2: Convert to fraction form
   200,691/275,196.75 = 275,196.75/x
3. Step 3: Cross multiply
   200,691x = 275,196.75 × 275,196.75
4. Step 4: Simplify right side
   200,691x = 75,733,251,210.56
5. Step 5: Solve for x
   x = 75,733,251,210.56/200,691
6. Step 6: Final answer
   x = 377,362.47