Finding the Third Proportional to 354,034 and 767,144

Step by Step Solution

1. Step 1: Write the proportion equation
   354,034 : 767,144 = 767,144 : x
2. Step 2: Convert to fraction form
   354,034/767,144 = 767,144/x
3. Step 3: Cross multiply
   354,034x = 767,144 × 767,144
4. Step 4: Simplify right side
   354,034x = 588,509,916,736
5. Step 5: Solve for x
   x = 588,509,916,736/354,034
6. Step 6: Final answer
   x = 1,662,297.74