Finding the Third Proportional to 535,410 and 861,003

Step by Step Solution

1. Step 1: Write the proportion equation
   535,410 : 861,003 = 861,003 : x
2. Step 2: Convert to fraction form
   535,410/861,003 = 861,003/x
3. Step 3: Cross multiply
   535,410x = 861,003 × 861,003
4. Step 4: Simplify right side
   535,410x = 741,326,166,009
5. Step 5: Solve for x
   x = 741,326,166,009/535,410
6. Step 6: Final answer
   x = 1,384,595.29