Finding the Third Proportional to 202,878 and 433,896.75

Step by Step Solution

1. Step 1: Write the proportion equation
   202,878 : 433,896.75 = 433,896.75 : x
2. Step 2: Convert to fraction form
   202,878/433,896.75 = 433,896.75/x
3. Step 3: Cross multiply
   202,878x = 433,896.75 × 433,896.75
4. Step 4: Simplify right side
   202,878x = 188,266,389,660.56
5. Step 5: Solve for x
   x = 188,266,389,660.56/202,878
6. Step 6: Final answer
   x = 927,978.34