Finding the Third Proportional to 187,647 and 283,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,647 : 283,096.50 = 283,096.50 : x
2. Step 2: Convert to fraction form
   187,647/283,096.50 = 283,096.50/x
3. Step 3: Cross multiply
   187,647x = 283,096.50 × 283,096.50
4. Step 4: Simplify right side
   187,647x = 80,143,628,312.25
5. Step 5: Solve for x
   x = 80,143,628,312.25/187,647
6. Step 6: Final answer
   x = 427,097.84