Finding the Third Proportional to 349,734.50 and 513,116

Step by Step Solution

1. Step 1: Write the proportion equation
   349,734.50 : 513,116 = 513,116 : x
2. Step 2: Convert to fraction form
   349,734.50/513,116 = 513,116/x
3. Step 3: Cross multiply
   349,734.50x = 513,116 × 513,116
4. Step 4: Simplify right side
   349,734.50x = 263,288,029,456
5. Step 5: Solve for x
   x = 263,288,029,456/349,734.50
6. Step 6: Final answer
   x = 752,822.58