Finding the Third Proportional to 187,627.50 and 276,480

Step by Step Solution

1. Step 1: Write the proportion equation
   187,627.50 : 276,480 = 276,480 : x
2. Step 2: Convert to fraction form
   187,627.50/276,480 = 276,480/x
3. Step 3: Cross multiply
   187,627.50x = 276,480 × 276,480
4. Step 4: Simplify right side
   187,627.50x = 76,441,190,400
5. Step 5: Solve for x
   x = 76,441,190,400/187,627.50
6. Step 6: Final answer
   x = 407,409.31