Finding the Third Proportional to 187,769.81 and 288,216.56

Step by Step Solution

1. Step 1: Write the proportion equation
   187,769.81 : 288,216.56 = 288,216.56 : x
2. Step 2: Convert to fraction form
   187,769.81/288,216.56 = 288,216.56/x
3. Step 3: Cross multiply
   187,769.81x = 288,216.56 × 288,216.56
4. Step 4: Simplify right side
   187,769.81x = 83,068,786,899.32
5. Step 5: Solve for x
   x = 83,068,786,899.32/187,769.81
6. Step 6: Final answer
   x = 442,396.92