Finding the Third Proportional to 187,279.50 and 409,536

Step by Step Solution

1. Step 1: Write the proportion equation
   187,279.50 : 409,536 = 409,536 : x
2. Step 2: Convert to fraction form
   187,279.50/409,536 = 409,536/x
3. Step 3: Cross multiply
   187,279.50x = 409,536 × 409,536
4. Step 4: Simplify right side
   187,279.50x = 167,719,735,296
5. Step 5: Solve for x
   x = 167,719,735,296/187,279.50
6. Step 6: Final answer
   x = 895,558.43