Finding the Third Proportional to 257,461.50 and 538,464

Step by Step Solution

1. Step 1: Write the proportion equation
   257,461.50 : 538,464 = 538,464 : x
2. Step 2: Convert to fraction form
   257,461.50/538,464 = 538,464/x
3. Step 3: Cross multiply
   257,461.50x = 538,464 × 538,464
4. Step 4: Simplify right side
   257,461.50x = 289,943,479,296
5. Step 5: Solve for x
   x = 289,943,479,296/257,461.50
6. Step 6: Final answer
   x = 1,126,162.47