Finding the Third Proportional to 341,994 and 511,078

Step by Step Solution

1. Step 1: Write the proportion equation
   341,994 : 511,078 = 511,078 : x
2. Step 2: Convert to fraction form
   341,994/511,078 = 511,078/x
3. Step 3: Cross multiply
   341,994x = 511,078 × 511,078
4. Step 4: Simplify right side
   341,994x = 261,200,722,084
5. Step 5: Solve for x
   x = 261,200,722,084/341,994
6. Step 6: Final answer
   x = 763,758.20