Finding the Third Proportional to 187,233.50 and 409,498

Step by Step Solution

1. Step 1: Write the proportion equation
   187,233.50 : 409,498 = 409,498 : x
2. Step 2: Convert to fraction form
   187,233.50/409,498 = 409,498/x
3. Step 3: Cross multiply
   187,233.50x = 409,498 × 409,498
4. Step 4: Simplify right side
   187,233.50x = 167,688,612,004
5. Step 5: Solve for x
   x = 167,688,612,004/187,233.50
6. Step 6: Final answer
   x = 895,612.23