Finding the Third Proportional to 381,201 and 828,801.75

Step by Step Solution

1. Step 1: Write the proportion equation
   381,201 : 828,801.75 = 828,801.75 : x
2. Step 2: Convert to fraction form
   381,201/828,801.75 = 828,801.75/x
3. Step 3: Cross multiply
   381,201x = 828,801.75 × 828,801.75
4. Step 4: Simplify right side
   381,201x = 686,912,340,803.06
5. Step 5: Solve for x
   x = 686,912,340,803.06/381,201
6. Step 6: Final answer
   x = 1,801,968.88