Finding the Third Proportional to 802,464 and 1,219,456

Step by Step Solution

1. Step 1: Write the proportion equation
   802,464 : 1,219,456 = 1,219,456 : x
2. Step 2: Convert to fraction form
   802,464/1,219,456 = 1,219,456/x
3. Step 3: Cross multiply
   802,464x = 1,219,456 × 1,219,456
4. Step 4: Simplify right side
   802,464x = 1,487,072,935,936
5. Step 5: Solve for x
   x = 1,487,072,935,936/802,464
6. Step 6: Final answer
   x = 1,853,133.52