Finding the Third Proportional to 510,957 and 773,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,957 : 773,509.50 = 773,509.50 : x
2. Step 2: Convert to fraction form
   510,957/773,509.50 = 773,509.50/x
3. Step 3: Cross multiply
   510,957x = 773,509.50 × 773,509.50
4. Step 4: Simplify right side
   510,957x = 598,316,946,590.25
5. Step 5: Solve for x
   x = 598,316,946,590.25/510,957
6. Step 6: Final answer
   x = 1,170,973.19