Finding the Third Proportional to 275,580 and 590,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,580 : 590,524.50 = 590,524.50 : x
2. Step 2: Convert to fraction form
   275,580/590,524.50 = 590,524.50/x
3. Step 3: Cross multiply
   275,580x = 590,524.50 × 590,524.50
4. Step 4: Simplify right side
   275,580x = 348,719,185,100.25
5. Step 5: Solve for x
   x = 348,719,185,100.25/275,580
6. Step 6: Final answer
   x = 1,265,400.92