Finding the Third Proportional to 257,607 and 522,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,607 : 522,490.50 = 522,490.50 : x
2. Step 2: Convert to fraction form
   257,607/522,490.50 = 522,490.50/x
3. Step 3: Cross multiply
   257,607x = 522,490.50 × 522,490.50
4. Step 4: Simplify right side
   257,607x = 272,996,322,590.25
5. Step 5: Solve for x
   x = 272,996,322,590.25/257,607
6. Step 6: Final answer
   x = 1,059,739.54