Finding the Third Proportional to 51,084 and 111,363.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,084 : 111,363.75 = 111,363.75 : x
2. Step 2: Convert to fraction form
   51,084/111,363.75 = 111,363.75/x
3. Step 3: Cross multiply
   51,084x = 111,363.75 × 111,363.75
4. Step 4: Simplify right side
   51,084x = 12,401,884,814.06
5. Step 5: Solve for x
   x = 12,401,884,814.06/51,084
6. Step 6: Final answer
   x = 242,774.35