Finding the Third Proportional to 76,142.81 and 111,616.88

Step by Step Solution

1. Step 1: Write the proportion equation
   76,142.81 : 111,616.88 = 111,616.88 : x
2. Step 2: Convert to fraction form
   76,142.81/111,616.88 = 111,616.88/x
3. Step 3: Cross multiply
   76,142.81x = 111,616.88 × 111,616.88
4. Step 4: Simplify right side
   76,142.81x = 12,458,326,784.77
5. Step 5: Solve for x
   x = 12,458,326,784.77/76,142.81
6. Step 6: Final answer
   x = 163,617.90