Finding the Third Proportional to 1,780,137 and 2,758,164

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780,137 : 2,758,164 = 2,758,164 : x
2. Step 2: Convert to fraction form
   1,780,137/2,758,164 = 2,758,164/x
3. Step 3: Cross multiply
   1,780,137x = 2,758,164 × 2,758,164
4. Step 4: Simplify right side
   1,780,137x = 7,607,468,650,896
5. Step 5: Solve for x
   x = 7,607,468,650,896/1,780,137
6. Step 6: Final answer
   x = 4,273,529.87