Finding the Third Proportional to 187,569 and 283,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,569 : 283,162.50 = 283,162.50 : x
2. Step 2: Convert to fraction form
   187,569/283,162.50 = 283,162.50/x
3. Step 3: Cross multiply
   187,569x = 283,162.50 × 283,162.50
4. Step 4: Simplify right side
   187,569x = 80,181,001,406.25
5. Step 5: Solve for x
   x = 80,181,001,406.25/187,569
6. Step 6: Final answer
   x = 427,474.70