Finding the Third Proportional to 1,189,320 and 2,565,264

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189,320 : 2,565,264 = 2,565,264 : x
2. Step 2: Convert to fraction form
   1,189,320/2,565,264 = 2,565,264/x
3. Step 3: Cross multiply
   1,189,320x = 2,565,264 × 2,565,264
4. Step 4: Simplify right side
   1,189,320x = 6,580,579,389,696
5. Step 5: Solve for x
   x = 6,580,579,389,696/1,189,320
6. Step 6: Final answer
   x = 5,533,060.40