Finding the Third Proportional to 259,634 and 538,996

Step by Step Solution

1. Step 1: Write the proportion equation
   259,634 : 538,996 = 538,996 : x
2. Step 2: Convert to fraction form
   259,634/538,996 = 538,996/x
3. Step 3: Cross multiply
   259,634x = 538,996 × 538,996
4. Step 4: Simplify right side
   259,634x = 290,516,688,016
5. Step 5: Solve for x
   x = 290,516,688,016/259,634
6. Step 6: Final answer
   x = 1,118,947.01