Finding the Third Proportional to 584,581 and 1,256,185

Step by Step Solution

1. Step 1: Write the proportion equation
   584,581 : 1,256,185 = 1,256,185 : x
2. Step 2: Convert to fraction form
   584,581/1,256,185 = 1,256,185/x
3. Step 3: Cross multiply
   584,581x = 1,256,185 × 1,256,185
4. Step 4: Simplify right side
   584,581x = 1,578,000,754,225
5. Step 5: Solve for x
   x = 1,578,000,754,225/584,581
6. Step 6: Final answer
   x = 2,699,370.58