Finding the Third Proportional to 187,761 and 283,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,761 : 283,237.50 = 283,237.50 : x
2. Step 2: Convert to fraction form
   187,761/283,237.50 = 283,237.50/x
3. Step 3: Cross multiply
   187,761x = 283,237.50 × 283,237.50
4. Step 4: Simplify right side
   187,761x = 80,223,481,406.25
5. Step 5: Solve for x
   x = 80,223,481,406.25/187,761
6. Step 6: Final answer
   x = 427,263.82