Finding the Third Proportional to 535,282.50 and 782,820

Step by Step Solution

1. Step 1: Write the proportion equation
   535,282.50 : 782,820 = 782,820 : x
2. Step 2: Convert to fraction form
   535,282.50/782,820 = 782,820/x
3. Step 3: Cross multiply
   535,282.50x = 782,820 × 782,820
4. Step 4: Simplify right side
   535,282.50x = 612,807,152,400
5. Step 5: Solve for x
   x = 612,807,152,400/535,282.50
6. Step 6: Final answer
   x = 1,144,829.42