Finding the Third Proportional to 339,492 and 512,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,492 : 512,698.50 = 512,698.50 : x
2. Step 2: Convert to fraction form
   339,492/512,698.50 = 512,698.50/x
3. Step 3: Cross multiply
   339,492x = 512,698.50 × 512,698.50
4. Step 4: Simplify right side
   339,492x = 262,859,751,902.25
5. Step 5: Solve for x
   x = 262,859,751,902.25/339,492
6. Step 6: Final answer
   x = 774,273.77