Finding the Third Proportional to 502,441 and 1,077,674

Step by Step Solution

1. Step 1: Write the proportion equation
   502,441 : 1,077,674 = 1,077,674 : x
2. Step 2: Convert to fraction form
   502,441/1,077,674 = 1,077,674/x
3. Step 3: Cross multiply
   502,441x = 1,077,674 × 1,077,674
4. Step 4: Simplify right side
   502,441x = 1,161,381,250,276
5. Step 5: Solve for x
   x = 1,161,381,250,276/502,441
6. Step 6: Final answer
   x = 2,311,477.87