Finding the Third Proportional to 1,177,978 and 2,564,536

Step by Step Solution

1. Step 1: Write the proportion equation
   1,177,978 : 2,564,536 = 2,564,536 : x
2. Step 2: Convert to fraction form
   1,177,978/2,564,536 = 2,564,536/x
3. Step 3: Cross multiply
   1,177,978x = 2,564,536 × 2,564,536
4. Step 4: Simplify right side
   1,177,978x = 6,576,844,895,296
5. Step 5: Solve for x
   x = 6,576,844,895,296/1,177,978
6. Step 6: Final answer
   x = 5,583,164.45