Finding the Third Proportional to 824,410 and 1,311,417

Step by Step Solution

1. Step 1: Write the proportion equation
   824,410 : 1,311,417 = 1,311,417 : x
2. Step 2: Convert to fraction form
   824,410/1,311,417 = 1,311,417/x
3. Step 3: Cross multiply
   824,410x = 1,311,417 × 1,311,417
4. Step 4: Simplify right side
   824,410x = 1,719,814,547,889
5. Step 5: Solve for x
   x = 1,719,814,547,889/824,410
6. Step 6: Final answer
   x = 2,086,115.58