Finding the Third Proportional to 77,814 and 113,961

Step by Step Solution

1. Step 1: Write the proportion equation
   77,814 : 113,961 = 113,961 : x
2. Step 2: Convert to fraction form
   77,814/113,961 = 113,961/x
3. Step 3: Cross multiply
   77,814x = 113,961 × 113,961
4. Step 4: Simplify right side
   77,814x = 12,987,109,521
5. Step 5: Solve for x
   x = 12,987,109,521/77,814
6. Step 6: Final answer
   x = 166,899.39