Finding the Third Proportional to 510,723 and 773,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,723 : 773,194.50 = 773,194.50 : x
2. Step 2: Convert to fraction form
   510,723/773,194.50 = 773,194.50/x
3. Step 3: Cross multiply
   510,723x = 773,194.50 × 773,194.50
4. Step 4: Simplify right side
   510,723x = 597,829,734,830.25
5. Step 5: Solve for x
   x = 597,829,734,830.25/510,723
6. Step 6: Final answer
   x = 1,170,555.73