Finding the Third Proportional to 262,097 and 558,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,097 : 558,537.50 = 558,537.50 : x
2. Step 2: Convert to fraction form
   262,097/558,537.50 = 558,537.50/x
3. Step 3: Cross multiply
   262,097x = 558,537.50 × 558,537.50
4. Step 4: Simplify right side
   262,097x = 311,964,138,906.25
5. Step 5: Solve for x
   x = 311,964,138,906.25/262,097
6. Step 6: Final answer
   x = 1,190,262.15