Finding the Third Proportional to 187,414 and 288,290

Step by Step Solution

1. Step 1: Write the proportion equation
   187,414 : 288,290 = 288,290 : x
2. Step 2: Convert to fraction form
   187,414/288,290 = 288,290/x
3. Step 3: Cross multiply
   187,414x = 288,290 × 288,290
4. Step 4: Simplify right side
   187,414x = 83,111,124,100
5. Step 5: Solve for x
   x = 83,111,124,100/187,414
6. Step 6: Final answer
   x = 443,462.73