Finding the Third Proportional to 546,012 and 826,650

Step by Step Solution

1. Step 1: Write the proportion equation
   546,012 : 826,650 = 826,650 : x
2. Step 2: Convert to fraction form
   546,012/826,650 = 826,650/x
3. Step 3: Cross multiply
   546,012x = 826,650 × 826,650
4. Step 4: Simplify right side
   546,012x = 683,350,222,500
5. Step 5: Solve for x
   x = 683,350,222,500/546,012
6. Step 6: Final answer
   x = 1,251,529.68