Finding the Third Proportional to 257,467.50 and 538,461

Step by Step Solution

1. Step 1: Write the proportion equation
   257,467.50 : 538,461 = 538,461 : x
2. Step 2: Convert to fraction form
   257,467.50/538,461 = 538,461/x
3. Step 3: Cross multiply
   257,467.50x = 538,461 × 538,461
4. Step 4: Simplify right side
   257,467.50x = 289,940,248,521
5. Step 5: Solve for x
   x = 289,940,248,521/257,467.50
6. Step 6: Final answer
   x = 1,126,123.68