Finding the Third Proportional to 564,866 and 830,003

Step by Step Solution

1. Step 1: Write the proportion equation
   564,866 : 830,003 = 830,003 : x
2. Step 2: Convert to fraction form
   564,866/830,003 = 830,003/x
3. Step 3: Cross multiply
   564,866x = 830,003 × 830,003
4. Step 4: Simplify right side
   564,866x = 688,904,980,009
5. Step 5: Solve for x
   x = 688,904,980,009/564,866
6. Step 6: Final answer
   x = 1,219,590.10