Finding the Third Proportional to 530,769 and 780,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   530,769 : 780,493.50 = 780,493.50 : x
2. Step 2: Convert to fraction form
   530,769/780,493.50 = 780,493.50/x
3. Step 3: Cross multiply
   530,769x = 780,493.50 × 780,493.50
4. Step 4: Simplify right side
   530,769x = 609,170,103,542.25
5. Step 5: Solve for x
   x = 609,170,103,542.25/530,769
6. Step 6: Final answer
   x = 1,147,712.29