Finding the Third Proportional to 77,922 and 113,967

Step by Step Solution

1. Step 1: Write the proportion equation
   77,922 : 113,967 = 113,967 : x
2. Step 2: Convert to fraction form
   77,922/113,967 = 113,967/x
3. Step 3: Cross multiply
   77,922x = 113,967 × 113,967
4. Step 4: Simplify right side
   77,922x = 12,988,477,089
5. Step 5: Solve for x
   x = 12,988,477,089/77,922
6. Step 6: Final answer
   x = 166,685.62