Finding the Third Proportional to 514,071 and 768,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   514,071 : 768,082.50 = 768,082.50 : x
2. Step 2: Convert to fraction form
   514,071/768,082.50 = 768,082.50/x
3. Step 3: Cross multiply
   514,071x = 768,082.50 × 768,082.50
4. Step 4: Simplify right side
   514,071x = 589,950,726,806.25
5. Step 5: Solve for x
   x = 589,950,726,806.25/514,071
6. Step 6: Final answer
   x = 1,147,605.54