Finding the Third Proportional to 778,464 and 1,173,264

Step by Step Solution

1. Step 1: Write the proportion equation
   778,464 : 1,173,264 = 1,173,264 : x
2. Step 2: Convert to fraction form
   778,464/1,173,264 = 1,173,264/x
3. Step 3: Cross multiply
   778,464x = 1,173,264 × 1,173,264
4. Step 4: Simplify right side
   778,464x = 1,376,548,413,696
5. Step 5: Solve for x
   x = 1,376,548,413,696/778,464
6. Step 6: Final answer
   x = 1,768,287.83