Finding the Third Proportional to 586,560 and 1,126,464

Step by Step Solution

1. Step 1: Write the proportion equation
   586,560 : 1,126,464 = 1,126,464 : x
2. Step 2: Convert to fraction form
   586,560/1,126,464 = 1,126,464/x
3. Step 3: Cross multiply
   586,560x = 1,126,464 × 1,126,464
4. Step 4: Simplify right side
   586,560x = 1,268,921,143,296
5. Step 5: Solve for x
   x = 1,268,921,143,296/586,560
6. Step 6: Final answer
   x = 2,163,327.10