Finding the Third Proportional to 87,142.50 and 188,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,142.50 : 188,938.50 = 188,938.50 : x
2. Step 2: Convert to fraction form
   87,142.50/188,938.50 = 188,938.50/x
3. Step 3: Cross multiply
   87,142.50x = 188,938.50 × 188,938.50
4. Step 4: Simplify right side
   87,142.50x = 35,697,756,782.25
5. Step 5: Solve for x
   x = 35,697,756,782.25/87,142.50
6. Step 6: Final answer
   x = 409,648.07