Finding the Third Proportional to 76,143 and 111,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,143 : 111,616.50 = 111,616.50 : x
2. Step 2: Convert to fraction form
   76,143/111,616.50 = 111,616.50/x
3. Step 3: Cross multiply
   76,143x = 111,616.50 × 111,616.50
4. Step 4: Simplify right side
   76,143x = 12,458,243,072.25
5. Step 5: Solve for x
   x = 12,458,243,072.25/76,143
6. Step 6: Final answer
   x = 163,616.39