Finding the Third Proportional to 340,428.75 and 512,112

Step by Step Solution

1. Step 1: Write the proportion equation
   340,428.75 : 512,112 = 512,112 : x
2. Step 2: Convert to fraction form
   340,428.75/512,112 = 512,112/x
3. Step 3: Cross multiply
   340,428.75x = 512,112 × 512,112
4. Step 4: Simplify right side
   340,428.75x = 262,258,700,544
5. Step 5: Solve for x
   x = 262,258,700,544/340,428.75
6. Step 6: Final answer
   x = 770,377.65