Finding the Third Proportional to 76,222.50 and 113,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,222.50 : 113,227.50 = 113,227.50 : x
2. Step 2: Convert to fraction form
   76,222.50/113,227.50 = 113,227.50/x
3. Step 3: Cross multiply
   76,222.50x = 113,227.50 × 113,227.50
4. Step 4: Simplify right side
   76,222.50x = 12,820,466,756.25
5. Step 5: Solve for x
   x = 12,820,466,756.25/76,222.50
6. Step 6: Final answer
   x = 168,197.93