Finding the Third Proportional to 77,067 and 113,109

Step by Step Solution

1. Step 1: Write the proportion equation
   77,067 : 113,109 = 113,109 : x
2. Step 2: Convert to fraction form
   77,067/113,109 = 113,109/x
3. Step 3: Cross multiply
   77,067x = 113,109 × 113,109
4. Step 4: Simplify right side
   77,067x = 12,793,645,881
5. Step 5: Solve for x
   x = 12,793,645,881/77,067
6. Step 6: Final answer
   x = 166,006.80