Finding the Third Proportional to 257,463 and 538,467.75

Step by Step Solution

1. Step 1: Write the proportion equation
   257,463 : 538,467.75 = 538,467.75 : x
2. Step 2: Convert to fraction form
   257,463/538,467.75 = 538,467.75/x
3. Step 3: Cross multiply
   257,463x = 538,467.75 × 538,467.75
4. Step 4: Simplify right side
   257,463x = 289,947,517,790.06
5. Step 5: Solve for x
   x = 289,947,517,790.06/257,463
6. Step 6: Final answer
   x = 1,126,171.60