Finding the Third Proportional to 513,006 and 766,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   513,006 : 766,630.50 = 766,630.50 : x
2. Step 2: Convert to fraction form
   513,006/766,630.50 = 766,630.50/x
3. Step 3: Cross multiply
   513,006x = 766,630.50 × 766,630.50
4. Step 4: Simplify right side
   513,006x = 587,722,323,530.25
5. Step 5: Solve for x
   x = 587,722,323,530.25/513,006
6. Step 6: Final answer
   x = 1,145,644.15