Finding the Third Proportional to 283,727 and 421,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   283,727 : 421,570.50 = 421,570.50 : x
2. Step 2: Convert to fraction form
   283,727/421,570.50 = 421,570.50/x
3. Step 3: Cross multiply
   283,727x = 421,570.50 × 421,570.50
4. Step 4: Simplify right side
   283,727x = 177,721,686,470.25
5. Step 5: Solve for x
   x = 177,721,686,470.25/283,727
6. Step 6: Final answer
   x = 626,382.71