Finding the Third Proportional to 535,293 and 769,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   535,293 : 769,405.50 = 769,405.50 : x
2. Step 2: Convert to fraction form
   535,293/769,405.50 = 769,405.50/x
3. Step 3: Cross multiply
   535,293x = 769,405.50 × 769,405.50
4. Step 4: Simplify right side
   535,293x = 591,984,823,430.25
5. Step 5: Solve for x
   x = 591,984,823,430.25/535,293
6. Step 6: Final answer
   x = 1,105,908.02