Finding the Third Proportional to 349,737 and 513,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,737 : 513,118.50 = 513,118.50 : x
2. Step 2: Convert to fraction form
   349,737/513,118.50 = 513,118.50/x
3. Step 3: Cross multiply
   349,737x = 513,118.50 × 513,118.50
4. Step 4: Simplify right side
   349,737x = 263,290,595,042.25
5. Step 5: Solve for x
   x = 263,290,595,042.25/349,737
6. Step 6: Final answer
   x = 752,824.54