Finding the Third Proportional to 1,174,546 and 2,564,816

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174,546 : 2,564,816 = 2,564,816 : x
2. Step 2: Convert to fraction form
   1,174,546/2,564,816 = 2,564,816/x
3. Step 3: Cross multiply
   1,174,546x = 2,564,816 × 2,564,816
4. Step 4: Simplify right side
   1,174,546x = 6,578,281,113,856
5. Step 5: Solve for x
   x = 6,578,281,113,856/1,174,546
6. Step 6: Final answer
   x = 5,600,701.13