Finding the Third Proportional to 87,760 and 187,200

Step by Step Solution

1. Step 1: Write the proportion equation
   87,760 : 187,200 = 187,200 : x
2. Step 2: Convert to fraction form
   87,760/187,200 = 187,200/x
3. Step 3: Cross multiply
   87,760x = 187,200 × 187,200
4. Step 4: Simplify right side
   87,760x = 35,043,840,000
5. Step 5: Solve for x
   x = 35,043,840,000/87,760
6. Step 6: Final answer
   x = 399,314.49