Finding the Third Proportional to 1,193,546 and 2,596,964

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193,546 : 2,596,964 = 2,596,964 : x
2. Step 2: Convert to fraction form
   1,193,546/2,596,964 = 2,596,964/x
3. Step 3: Cross multiply
   1,193,546x = 2,596,964 × 2,596,964
4. Step 4: Simplify right side
   1,193,546x = 6,744,222,017,296
5. Step 5: Solve for x
   x = 6,744,222,017,296/1,193,546
6. Step 6: Final answer
   x = 5,650,575.69