Finding the Third Proportional to 76,505 and 111,821.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,505 : 111,821.25 = 111,821.25 : x
2. Step 2: Convert to fraction form
   76,505/111,821.25 = 111,821.25/x
3. Step 3: Cross multiply
   76,505x = 111,821.25 × 111,821.25
4. Step 4: Simplify right side
   76,505x = 12,503,991,951.56
5. Step 5: Solve for x
   x = 12,503,991,951.56/76,505
6. Step 6: Final answer
   x = 163,440.19