Finding the Third Proportional to 257,500 and 538,520

Step by Step Solution

1. Step 1: Write the proportion equation
   257,500 : 538,520 = 538,520 : x
2. Step 2: Convert to fraction form
   257,500/538,520 = 538,520/x
3. Step 3: Cross multiply
   257,500x = 538,520 × 538,520
4. Step 4: Simplify right side
   257,500x = 290,003,790,400
5. Step 5: Solve for x
   x = 290,003,790,400/257,500
6. Step 6: Final answer
   x = 1,126,228.31