Finding the Third Proportional to 187,500 and 288,162

Step by Step Solution

1. Step 1: Write the proportion equation
   187,500 : 288,162 = 288,162 : x
2. Step 2: Convert to fraction form
   187,500/288,162 = 288,162/x
3. Step 3: Cross multiply
   187,500x = 288,162 × 288,162
4. Step 4: Simplify right side
   187,500x = 83,037,338,244
5. Step 5: Solve for x
   x = 83,037,338,244/187,500
6. Step 6: Final answer
   x = 442,865.80