Finding the Third Proportional to 50,902.50 and 114,315

Step by Step Solution

1. Step 1: Write the proportion equation
   50,902.50 : 114,315 = 114,315 : x
2. Step 2: Convert to fraction form
   50,902.50/114,315 = 114,315/x
3. Step 3: Cross multiply
   50,902.50x = 114,315 × 114,315
4. Step 4: Simplify right side
   50,902.50x = 13,067,919,225
5. Step 5: Solve for x
   x = 13,067,919,225/50,902.50
6. Step 6: Final answer
   x = 256,724.51