Finding the Third Proportional to 1,174,748 and 2,565,198

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174,748 : 2,565,198 = 2,565,198 : x
2. Step 2: Convert to fraction form
   1,174,748/2,565,198 = 2,565,198/x
3. Step 3: Cross multiply
   1,174,748x = 2,565,198 × 2,565,198
4. Step 4: Simplify right side
   1,174,748x = 6,580,240,779,204
5. Step 5: Solve for x
   x = 6,580,240,779,204/1,174,748
6. Step 6: Final answer
   x = 5,601,406.24